Question

The angle of depression from the basketball hoop to Claire’s eyes is 9.2 . The vertical distance from the ground to Claire’s eyes is 5.6 feet. Using the diagram, find the height of the basketball hoop to the nearest tenth.

Answer 1

It's D, 9.2 ft.

Explanation:

Answer 2

see the attached picture to better understand the problem
we know that
in the right triangle ABC
tan 9.2°=BC/AC-----> BC=AC*tan 9.2°----> BC=22*tan 9.2°---> BC=3.56 ft

the height of the basketball hoop=BC+CD----> 3.56+5.6----> 9.16 ft
the height of the basketball hoop=9.2 ft

the answer is
the height of the basketball hoop is 9.2 ft