Question

You are standing on a footbridge that is 12 feet above a lake. You look down and see a duck in the water. The duck is 7 feet away from the footbridge. What is the angle of elevation from the duck to you? Round your answer to the nearest tenth.

Answer 1

The answer is 59.7 degrees

Explanation:

Answer 2

59.7°

Explanation:

Working based on the solution diagram :

The angle of elevation = x

From trigonometry :

Opposite side = 12 feets

Adjacent side = 7 feets

Tan x = opposite / Adjacent

Tan x = 12 / 7

Tan x = 1.7142857

x = tan^-1(1.7142857)

x = 59.744°

The angle of elevation from the duck is 59.7°