Question

A helicopter is 665 feet above the ground. A girl is looking up at the helicopter to form a line. Her line of sight is 5 feet off the ground. The distance between the girl and the helicopter is 280 feet.
A helicopter flies 665 feet above ground. What is the measure of the angle of depression from the helicopter to the girl’s line of sight? Round to the nearest degree.

23°
25°
65°
67°

Answer 1

Vertical drop = 665 − 5 = 660 ft.
Assuming 280 ft is the horizontal distance, angle of depression θ = arctan(opposite/adjacent) = arctan(660/280) ≈ arctan(2.3571) ≈ 67°.

Answer: 67°.