Question

A​ hot-air balloon is flying at an altitude of 2958 feet. If the angle of depression from the pilot in the balloon to a house on the ground below is 28​, how far is the house from the​ pilot?

Answer 1

• Perpendicular=P=2958
• Hypotenuse=H

Lets see

• sinØ=P/H
• sin28=2958/H
• H=2958/sin28
• H=6300.7ft

Answer 2

• 6300.70 feet

Explanation:

Let the distance between pilot and house be d.

The three points form a right triangle, with height of 2958 ft and opposite angle 28 degrees.

Find d using trigonometry

• sine = opposite / hypotenuse

• sin 28° = 2958/d
• d = 2958/sin 28°
• d = 6300.70 feet