rhoana2003 rhoana2003

13-04-2020
Mathematics

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A hot-air balloon is flying at an altitude of 2690 feet. If the angle of depression from the pilot in the balloon to a house on the ground below is 35 degrees, how far is the house from the pilot?

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sqdancefan sqdancefan

07-05-2021

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Answer:

4690 ft

Step-by-step explanation:

The applicable trig relation is ...

Sin = Opposite/Hypotenuse

We want the hypotenuse of the right triangle that models the geometry.

sin(35°) = (2690 ft)/distance

distance = (2690 ft)/sin(35°) ≈ 4689.87 ft

The pilot is about 4690 ft from the house.

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