Question

The angle of depression from the basketball hoop to Claire’s eyes is 9.2degrees. 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

Using Trigonometric ratios concept: SOH CAH TOA
Tangent of theta = Opposite/Adjacent.
where theta is the angle.
Given:
Theta = 30⁰
Opposite = 2.5 meters.

Substituting the values:

Tan theta = 2.5/Adjacent
Tan 30⁰ = 2.5/Adjacent
Adjacent = 4.33 meters