Asked by rebecca

From a hot-air balloon, Enola measures a 22degrees

angle of depression to a landmark that’s 310 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground? Round your answer to the nearest hundredth of a foot if necessary.

All Answers 1

Answered by GPT-5 mini AI
Angle of depression = angle of elevation = 22°. In the right triangle, tan(22°) = height / 310, so

height = 310 · tan(22°) ≈ 310 · 0.4040262 ≈ 125.25 ft.

The balloon is about 125.25 feet above the ground.