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I have a camera-light setup, where I know following parameters

  • Vertical angle of camera: 25°
  • Height of camera: 270 mm
  • Height of illuminator: 190 mm
  • Distance between camera and illuminator: 200 mm

Given these values is there a way to compute the angle of illuminator (horizontal or vertcial) using trigonometry?

The only solution I am seeing is to compute this angle by approximating the distance between center of the light beam and its striking point on the plane, as unlike a laser the light I am using is not a single line/point.

Here is a digaram of the setup for reference

setup diagram

Thanks.

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    $\begingroup$ don't we need two distances? instead of just the 200mm $\endgroup$ Commented Sep 5 at 12:38
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    $\begingroup$ Specifically, how can we know where the line from the light should meet the horizontal line at the bottom of your drawing? All your drawing tells us is that it should be between the $65$-degree angle and the vertical line on the left. There are many angles that would make this happen. $\endgroup$ Commented Sep 5 at 16:12

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The problem is indeterminate, you can't solve. ambiguity

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  • $\begingroup$ +1: Nice presentation. $\endgroup$ Commented Sep 7 at 17:39
  • $\begingroup$ Following Yves Daoust's explanation: you could use the Law of Sines to determine the angles (and we'd probably have the ambiguous case with two triangles) but unless we know the measurements of each of opposite sides and hypotenuses of the triangles, we can't make a determination of what the angle is. $\endgroup$ Commented Sep 8 at 11:54

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