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.
height = 310 · tan(22°) ≈ 310 · 0.4040262 ≈ 125.25 ft.
The balloon is about 125.25 feet above the ground.
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