Angles of Elevation & Shadows

If you have the angle of elevation from the sun (or another light source) and you have the height of a person, you can calculate the length of their shadow.

sun shadow trigonometry

There are two similar triangles, the smaller triangle with the height of the person and the larger triangle with the height of the sun. They share an angle theta.

Sometimes setting up the problem and getting the concept is the hardest part.

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