Question

An engineer erects a 111-foot cellular telephone tower. Find the angle of elevation to the top

of the tower at a point on level ground 62 feet from its base. Round your answer to one
decimal place.
A. 62.8
B. 63.8
C. 61.8
D. 60.8
E. 64.8

Answer 1

Option D: angle of elevation = 60.8°

Explanation:

To solve this problem we can use the tangent relation of the angle of elevation.

The opposite side to the angle will be the height of the tower, that is 111 feet. The adjacent side to the angle will be the distance from the point to the base of the tower, that is 62 feet.

So we have that:

tangent(angle) = 111/62

tangent(angle) = 1.7903

angle = 60.8°

Correct option: D