Question

If a tree is a height of 37 feet and it's shadow is a length of 28 feet on the ground find the angle of elevation the top of the shadow makes with the top of the tree in degrees

Answer 1

52.9°

Explanation:

Please refer to the attached image for explanations

Answer 2

52.88 degrees

Explanation:

To find the angle of elevation, we just need to use the tangent relation of the angle, as this relation is expressed as the division of the opposite side (that is, the height of the tree) by the adjacent side (that is, the length of the shadow), so we have that:

tangent(angle) = 37/28 = 1.3214

angle = arc tangent (1.3214) = 52.88 degrees