Question

Given that the horizontal distance from the hoop to the free throw line (at point a) is 15 feet, how tall is the hoop? Round the answer to the nearest whole foot.

Answer 1

The hoop is 10 ft tall.

Explanation:

Answer 2

tan 33.69 ° = Opposite / Adjacent = x / 15
x = 15 · tan 33.69° = 15· 0.6666 = 9.999 ≈ 10 ft.
Answer: the hoop is 10 feet tall.