Math trig functions

Question

The cruising altitude of an airplane is 22,500 feet and begins its design at an angle of depression of 20°. Find the distance that The plane travels along it’s dissent.

Answer 1

The angle of depression is the angle formed by looking down from the "straight ahead" view.

sin(θ) = opposite/hypotenuse

sin(20°) = 22,500/d

d•sin(20°) = 22,500

d = 22,500/sin(20°)

d = 22,500/0.342

d = 65,786 feet

Answer 2

22,500/sin(70) = d/sin(90)

sin(90) = 1

d = 22,500/sin(70)

d = 23,944 ft