Question

A tree that is 100 feet tall casts a shadow that is 150 feet long. Determine the angle at which the rays of the sun hit the ground, to the nearest degree.

Answer 1

34°

Explanation:

Let θ = the angle of elevation from the ground to the top of the tree. Then

tanθ = 100/150 = 0.6667

θ = arctan0.6667

θ = 34°

The sin's rays hit the ground at an angle of 34°.