Question

The angle of elevation from a soccer ball on the ground to the top of the goal is 34°. If the

Goal is 8 feet tall, what is the distance from the ball to the goal?

Answer 1

11.9 feet (3 s.f.)

Explanation:

Let the distance from the ball to the goal be FB feet.

tan 34°= GF/FB

tan 34°= 8/FB

FB (tan34°)= 8

FB= 8/tan 34°

FB= 11.860 (5s.f.)

Therefore, distance from the ball to the goal is 11.9 feet (3 s.f.)