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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

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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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