Question

A soccer player is 30 feet from the goal line. He shoots the ball directly at the goal.

The goal is 8 feet high. What is the maximum angle of elevation at which the player

can shoot the ball and still score a goal?

Answer 1

14.93°

Explanation:

Using trigonometry :

From the diagram attached :

Angle of elevation = x

To obtain the value of x

Tan x = opposite / Adjacent

Tan x = 8 / 30

Tan x = 0.266666

x = tan^-1(0.26666)

x = 14.93°

Therefore, the angle of elevation is 14.93°