Problem 55780. Calculate Angle From Axis

Created by Matt Tearle

Solve Later

{"parts":[{"partUri":"/matlab/document.xml","contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?><w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Given coordinates </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>x</w:t></w:r><w:r><w:t> and </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>y</w:t></w:r><w:r><w:t>, an axis (\"X\" or \"Y\"), and a direction (\"cw\" or \"ccw\", meaning clockwise and counterclockwise, respectively), find the angle, in degrees, from the given axis to the vector from the origin to the point (</w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>x</w:t></w:r><w:r><w:t>,</w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>y</w:t></w:r><w:r><w:t>), in the given direction. The angle must be given in the range [0,360].</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>You can assume that the axis and direction will always be in the form given above (\"X\" or \"Y\" for the axis, \"cw\" or \"ccw\" for the direction).</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>For example:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:customXml w:element=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"454\"/><w:attr w:name=\"width\" w:val=\"646\"/><w:attr w:name=\"verticalAlign\" w:val=\"baseline\"/><w:attr w:name=\"altText\" w:val=\"\"/><w:attr w:name=\"relationshipId\" w:val=\"rId1\"/></w:customXmlPr></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[theta = fromaxis(-1,-0.25,\"X\",\"cw\")  % blue angle in diagram\ntheta =\n  165.9638\n\ntheta = fromaxis(-1,-0.25,\"Y\",\"cw\")  % orange\ntheta =\n  255.9638\n\ntheta = fromaxis(-1,-0.25,\"X\",\"ccw\")  % green\ntheta =\n  194.0362\n\ntheta = fromaxis(-1,-0.25,\"Y\",\"ccw\")  % red\ntheta =\n  104.0362]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>You can use the following algorithm:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"2\"/></w:numPr><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Use </w:t></w:r><w:r><w:rPr><w:rFonts w:cs=\"monospace\"/></w:rPr><w:t>theta = atan2d(y,x)</w:t></w:r><w:r><w:t> to get the angle </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>counterclockwise</w:t></w:r><w:r><w:t> from the </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>x</w:t></w:r><w:r><w:t> axis in the range [-180, 180].</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"2\"/></w:numPr><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Use </w:t></w:r><w:r><w:rPr><w:rFonts w:cs=\"monospace\"/></w:rPr><w:t>-theta</w:t></w:r><w:r><w:t> to get the angle </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>clockwise</w:t></w:r><w:r><w:t> from the </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>x</w:t></w:r><w:r><w:t> axis (still in the range [-180, 180]).</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"2\"/></w:numPr><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Use </w:t></w:r><w:r><w:rPr><w:rFonts w:cs=\"monospace\"/></w:rPr><w:t>theta - 90</w:t></w:r><w:r><w:t> to get the angle </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>counterclockwise</w:t></w:r><w:r><w:t> from the </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>y</w:t></w:r><w:r><w:t> axis (in the range [-270, 90]).</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"2\"/></w:numPr><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Use </w:t></w:r><w:r><w:rPr><w:rFonts w:cs=\"monospace\"/></w:rPr><w:t>90 - theta</w:t></w:r><w:r><w:t> to get the angle </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>clockwise</w:t></w:r><w:r><w:t> from the </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>y</w:t></w:r><w:r><w:t> axis (in the range [-90, 270]).</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"2\"/></w:numPr><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Put the resulting angle into the range [0 360].</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>One way to achieve #5 is to add 360 to any result that is negative.</w:t></w:r></w:p></w:body></w:document>","relationship":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/image","target":"/media/image1.png","relationshipId":"rId1"}]},{"partUri":"/media/image1.png","contentType":"image/png","content":"data:image/png;base64,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","relationship":null}],"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","target":"/matlab/document.xml","relationshipId":"rId1"}]}

<div style = "text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; "><div style="block-size: 1115.17px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 557.583px; transform-origin: 407px 557.583px; vertical-align: baseline; "><div style="block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 59.5px 8px; transform-origin: 59.5px 8px; unicode-bidi: normal; "><span style="">Given coordinates </span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3px 8px; transform-origin: 3px 8px; unicode-bidi: normal; "><span style="font-style: italic; ">x</span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 16px 8px; transform-origin: 16px 8px; unicode-bidi: normal; "><span style=""> and </span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.5px 8px; transform-origin: 3.5px 8px; unicode-bidi: normal; "><span style="font-style: italic; ">y</span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 293.5px 8px; transform-origin: 293.5px 8px; unicode-bidi: normal; "><span style="">, an axis ("X" or "Y"), and a direction ("cw" or "ccw", meaning clockwise and counterclockwise, respectively), find the angle, in degrees, from the given axis to the vector from the origin to the point (</span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3px 8px; transform-origin: 3px 8px; unicode-bidi: normal; "><span style="font-style: italic; ">x</span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; "><span style="">,</span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.5px 8px; transform-origin: 3.5px 8px; unicode-bidi: normal; "><span style="font-style: italic; ">y</span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 45px 8px; transform-origin: 45px 8px; unicode-bidi: normal; "><span style="">), in the given direction. The angle must be given in the range [0,360].</span></span></div><div style="block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 381.5px 8px; transform-origin: 381.5px 8px; unicode-bidi: normal; "><span style="">You can assume that the axis and direction will always be in the form given above ("X" or "Y" for the axis, "cw" or "ccw" for the direction).</span></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 41px 8px; transform-origin: 41px 8px; unicode-bidi: normal; "><span style="">For example:</span></span></div><div style="block-size: 459.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 229.75px; text-align: left; transform-origin: 384px 229.75px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><img class="imageNode" style="vertical-align: baseline;width: 646px;height: 454px" src="data:image/png;base64,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" data-image-state="image-loaded" width="646" height="454"></div><div style="background-color: rgb(247, 247, 247); block-size: 306.5px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 153.25px; transform-origin: 404px 153.25px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; "><div style="background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 240px 8.5px; tab-size: 4; transform-origin: 240px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; perspective-origin: 104px 8.5px; transform-origin: 104px 8.5px; ">theta = fromaxis(-1,-0.25,</span><span style="border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 12px 8.5px; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 12px 8.5px; ">"X"</span><span style="margin-inline-end: 0px; margin-right: 0px; perspective-origin: 4px 8.5px; transform-origin: 4px 8.5px; ">,</span><span style="border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 16px 8.5px; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 16px 8.5px; ">"cw"</span><span style="margin-inline-end: 0px; margin-right: 0px; perspective-origin: 12px 8.5px; transform-origin: 12px 8.5px; ">)  </span><span style="border-block-end-color: rgb(2, 128, 9); border-block-start-color: rgb(2, 128, 9); border-bottom-color: rgb(2, 128, 9); border-inline-end-color: rgb(2, 128, 9); border-inline-start-color: rgb(2, 128, 9); border-left-color: rgb(2, 128, 9); border-right-color: rgb(2, 128, 9); border-top-color: rgb(2, 128, 9); caret-color: rgb(2, 128, 9); color: rgb(2, 128, 9); column-rule-color: rgb(2, 128, 9); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(2, 128, 9); perspective-origin: 92px 8.5px; text-decoration-color: rgb(2, 128, 9); text-emphasis-color: rgb(2, 128, 9); transform-origin: 92px 8.5px; ">% blue angle in diagram</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 28px 8.5px; tab-size: 4; transform-origin: 28px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">theta =</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 40px 8.5px; tab-size: 4; transform-origin: 40px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">  165.9638</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 8.5px; tab-size: 4; transform-origin: 0px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; "></span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 180px 8.5px; tab-size: 4; transform-origin: 180px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; perspective-origin: 104px 8.5px; transform-origin: 104px 8.5px; ">theta = fromaxis(-1,-0.25,</span><span style="border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 12px 8.5px; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 12px 8.5px; ">"Y"</span><span style="margin-inline-end: 0px; margin-right: 0px; perspective-origin: 4px 8.5px; transform-origin: 4px 8.5px; ">,</span><span style="border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 16px 8.5px; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 16px 8.5px; ">"cw"</span><span style="margin-inline-end: 0px; margin-right: 0px; perspective-origin: 12px 8.5px; transform-origin: 12px 8.5px; ">)  </span><span style="border-block-end-color: rgb(2, 128, 9); border-block-start-color: rgb(2, 128, 9); border-bottom-color: rgb(2, 128, 9); border-inline-end-color: rgb(2, 128, 9); border-inline-start-color: rgb(2, 128, 9); border-left-color: rgb(2, 128, 9); border-right-color: rgb(2, 128, 9); border-top-color: rgb(2, 128, 9); caret-color: rgb(2, 128, 9); color: rgb(2, 128, 9); column-rule-color: rgb(2, 128, 9); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(2, 128, 9); perspective-origin: 32px 8.5px; text-decoration-color: rgb(2, 128, 9); text-emphasis-color: rgb(2, 128, 9); transform-origin: 32px 8.5px; ">% orange</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 28px 8.5px; tab-size: 4; transform-origin: 28px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">theta =</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 40px 8.5px; tab-size: 4; transform-origin: 40px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">  255.9638</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 8.5px; tab-size: 4; transform-origin: 0px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; "></span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 180px 8.5px; tab-size: 4; transform-origin: 180px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; perspective-origin: 104px 8.5px; transform-origin: 104px 8.5px; ">theta = fromaxis(-1,-0.25,</span><span style="border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 12px 8.5px; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 12px 8.5px; ">"X"</span><span style="margin-inline-end: 0px; margin-right: 0px; perspective-origin: 4px 8.5px; transform-origin: 4px 8.5px; ">,</span><span style="border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 20px 8.5px; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 20px 8.5px; ">"ccw"</span><span style="margin-inline-end: 0px; margin-right: 0px; perspective-origin: 12px 8.5px; transform-origin: 12px 8.5px; ">)  </span><span style="border-block-end-color: rgb(2, 128, 9); border-block-start-color: rgb(2, 128, 9); border-bottom-color: rgb(2, 128, 9); border-inline-end-color: rgb(2, 128, 9); border-inline-start-color: rgb(2, 128, 9); border-left-color: rgb(2, 128, 9); border-right-color: rgb(2, 128, 9); border-top-color: rgb(2, 128, 9); caret-color: rgb(2, 128, 9); color: rgb(2, 128, 9); column-rule-color: rgb(2, 128, 9); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(2, 128, 9); perspective-origin: 28px 8.5px; text-decoration-color: rgb(2, 128, 9); text-emphasis-color: rgb(2, 128, 9); transform-origin: 28px 8.5px; ">% green</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 28px 8.5px; tab-size: 4; transform-origin: 28px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">theta =</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 40px 8.5px; tab-size: 4; transform-origin: 40px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">  194.0362</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 8.5px; tab-size: 4; transform-origin: 0px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; "></span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 172px 8.5px; tab-size: 4; transform-origin: 172px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; perspective-origin: 104px 8.5px; transform-origin: 104px 8.5px; ">theta = fromaxis(-1,-0.25,</span><span style="border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 12px 8.5px; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 12px 8.5px; ">"Y"</span><span style="margin-inline-end: 0px; margin-right: 0px; perspective-origin: 4px 8.5px; transform-origin: 4px 8.5px; ">,</span><span style="border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 20px 8.5px; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 20px 8.5px; ">"ccw"</span><span style="margin-inline-end: 0px; margin-right: 0px; perspective-origin: 12px 8.5px; transform-origin: 12px 8.5px; ">)  </span><span style="border-block-end-color: rgb(2, 128, 9); border-block-start-color: rgb(2, 128, 9); border-bottom-color: rgb(2, 128, 9); border-inline-end-color: rgb(2, 128, 9); border-inline-start-color: rgb(2, 128, 9); border-left-color: rgb(2, 128, 9); border-right-color: rgb(2, 128, 9); border-top-color: rgb(2, 128, 9); caret-color: rgb(2, 128, 9); color: rgb(2, 128, 9); column-rule-color: rgb(2, 128, 9); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(2, 128, 9); perspective-origin: 20px 8.5px; text-decoration-color: rgb(2, 128, 9); text-emphasis-color: rgb(2, 128, 9); transform-origin: 20px 8.5px; ">% red</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 28px 8.5px; tab-size: 4; transform-origin: 28px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">theta =</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 40px 8.5px; tab-size: 4; transform-origin: 40px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">  104.0362</span></span></div></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 113px 8px; transform-origin: 113px 8px; unicode-bidi: normal; "><span style="">You can use the following algorithm:</span></span></div><ol style="block-size: 104.167px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: decimal; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 391px 52.0833px; transform-origin: 391px 52.0833px; margin-top: 10px; margin-bottom: 20px; "><li style="block-size: 20.9333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.4667px; text-align: left; transform-origin: 363px 10.4667px; white-space: pre-wrap; margin-left: 56px; "><span style="block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 14px 8px; transform-origin: 14px 8px; unicode-bidi: normal; "><span style="">Use </span></span><span style="block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 76px 8px; transform-origin: 76px 8px; unicode-bidi: normal; "><span style="font-family: Menlo, Monaco, Consolas, &quot;Courier New&quot;, monospace; perspective-origin: 76px 8.5px; transform-origin: 76px 8.5px; ">theta = atan2d(y,x)</span></span><span style="block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 53.5px 8px; transform-origin: 53.5px 8px; unicode-bidi: normal; "><span style=""> to get the angle </span></span><span style="block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 62px 8px; transform-origin: 62px 8px; unicode-bidi: normal; "><span style="font-weight: 700; ">counterclockwise</span></span><span style="block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 30px 8px; transform-origin: 30px 8px; unicode-bidi: normal; "><span style=""> from the </span></span><span style="block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; "><span style="font-weight: 700; ">x</span></span><span style="block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 92.5px 8px; transform-origin: 92.5px 8px; unicode-bidi: normal; "><span style=""> axis in the range [-180, 180].</span></span></li><li style="block-size: 20.9333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.4667px; text-align: left; transform-origin: 363px 10.4667px; white-space: pre-wrap; margin-left: 56px; "><span style="block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 14px 8px; transform-origin: 14px 8px; unicode-bidi: normal; "><span style="">Use </span></span><span style="block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 24px 8px; transform-origin: 24px 8px; unicode-bidi: normal; "><span style="font-family: Menlo, Monaco, Consolas, &quot;Courier New&quot;, monospace; perspective-origin: 24px 8.5px; transform-origin: 24px 8.5px; ">-theta</span></span><span style="block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 53.5px 8px; transform-origin: 53.5px 8px; unicode-bidi: normal; "><span style=""> to get the angle </span></span><span style="block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 34.5px 8px; transform-origin: 34.5px 8px; unicode-bidi: normal; "><span style="font-weight: 700; ">clockwise</span></span><span style="block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 30px 8px; transform-origin: 30px 8px; unicode-bidi: normal; "><span style=""> from the </span></span><span style="block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; "><span style="font-weight: 700; ">x</span></span><span style="block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 109.5px 8px; transform-origin: 109.5px 8px; unicode-bidi: normal; "><span style=""> axis (still in the range [-180, 180]).</span></span></li><li style="block-size: 20.9333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.4667px; text-align: left; transform-origin: 363px 10.4667px; white-space: pre-wrap; margin-left: 56px; "><span style="block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 14px 8px; transform-origin: 14px 8px; unicode-bidi: normal; "><span style="">Use </span></span><span style="block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 40px 8px; transform-origin: 40px 8px; unicode-bidi: normal; "><span style="font-family: Menlo, Monaco, Consolas, &quot;Courier New&quot;, monospace; perspective-origin: 40px 8.5px; transform-origin: 40px 8.5px; ">theta - 90</span></span><span style="block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 53.5px 8px; transform-origin: 53.5px 8px; unicode-bidi: normal; "><span style=""> to get the angle </span></span><span style="block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 62px 8px; transform-origin: 62px 8px; unicode-bidi: normal; "><span style="font-weight: 700; ">counterclockwise</span></span><span style="block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 30px 8px; transform-origin: 30px 8px; unicode-bidi: normal; "><span style=""> from the </span></span><span style="block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 3.5px 8px; transform-origin: 3.5px 8px; unicode-bidi: normal; "><span style="font-weight: 700; ">y</span></span><span style="block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 93.5px 8px; transform-origin: 93.5px 8px; unicode-bidi: normal; "><span style=""> axis (in the range [-270, 90]).</span></span></li><li style="block-size: 20.9333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.4667px; text-align: left; transform-origin: 363px 10.4667px; white-space: pre-wrap; margin-left: 56px; "><span style="block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 14px 8px; transform-origin: 14px 8px; unicode-bidi: normal; "><span style="">Use </span></span><span style="block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 40px 8px; transform-origin: 40px 8px; unicode-bidi: normal; "><span style="font-family: Menlo, Monaco, Consolas, &quot;Courier New&quot;, monospace; perspective-origin: 40px 8.5px; transform-origin: 40px 8.5px; ">90 - theta</span></span><span style="block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 53.5px 8px; transform-origin: 53.5px 8px; unicode-bidi: normal; "><span style=""> to get the angle </span></span><span style="block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 34.5px 8px; transform-origin: 34.5px 8px; unicode-bidi: normal; "><span style="font-weight: 700; ">clockwise</span></span><span style="block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 30px 8px; transform-origin: 30px 8px; unicode-bidi: normal; "><span style=""> from the </span></span><span style="block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 3.5px 8px; transform-origin: 3.5px 8px; unicode-bidi: normal; "><span style="font-weight: 700; ">y</span></span><span style="block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 93.5px 8px; transform-origin: 93.5px 8px; unicode-bidi: normal; "><span style=""> axis (in the range [-90, 270]).</span></span></li><li style="block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2167px; text-align: left; transform-origin: 363px 10.2167px; white-space: pre-wrap; margin-left: 56px; "><span style="block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 143px 8px; transform-origin: 143px 8px; unicode-bidi: normal; "><span style="">Put the resulting angle into the range [0 360].</span></span></li></ol><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 208px 8px; transform-origin: 208px 8px; unicode-bidi: normal; "><span style="">One way to achieve #5 is to add 360 to any result that is negative.</span></span></div></div></div>

Given coordinates x and y, an axis ("X" or "Y"), and a direction ("cw" or "ccw", meaning clockwise and counterclockwise, respectively), find the angle, in degrees, from the given axis to the vector from the origin to the point (x,y), in the given direction. The angle must be given in the range [0,360].
You can assume that the axis and direction will always be in the form given above ("X" or "Y" for the axis, "cw" or "ccw" for the direction).
For example:

theta = fromaxis(-1,-0.25,"X","cw")  % blue angle in diagram
theta =
  165.9638

theta = fromaxis(-1,-0.25,"Y","cw")  % orange
theta =
  255.9638

theta = fromaxis(-1,-0.25,"X","ccw")  % green
theta =
  194.0362

theta = fromaxis(-1,-0.25,"Y","ccw")  % red
theta =
  104.0362
You can use the following algorithm:
Use theta = atan2d(y,x) to get the angle counterclockwise from the x axis in the range [-180, 180].
Use -theta to get the angle clockwise from the x axis (still in the range [-180, 180]).
Use theta - 90 to get the angle counterclockwise from the y axis (in the range [-270, 90]).
Use 90 - theta to get the angle clockwise from the y axis (in the range [-90, 270]).
Put the resulting angle into the range [0 360].
One way to achieve #5 is to add 360 to any result that is negative.

Solve

Solution Stats

250 Solutions
68 Solvers

Last Solution submitted on Mar 29, 2023

Last 200 Solutions

Problem Comments

Problem Recent Solvers68

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 55780. Calculate Angle From Axis

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers68

Suggested Problems

More from this Author22

Problem Tags

Community Treasure Hunt

Problem 55780. Calculate Angle From Axis

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers68

Suggested Problems

More from this Author22

Problem Tags

Community Treasure Hunt

Players