Question

Bob is driving along a straight and level road straight toward a mountain. At some point on his trip he measures the angle of elevation to the top of the mountain and finds it to be 21°44'. Find the height of the mountain to the nearest foot if Bob is 13,428.7 feet from the center of the mountain at the base.

Answer 1

The distance Bob has driven and the height of the mountain form a right angle triangle, where the driven distance is the hypotenuse and the height of the mountain is the height.
sin∅ = height / hypotenuse
hypotenuse = 13,428.7 / sin(21.73°)

Distance driven = 36,270.9 feet

Answer 2

Answer:

5353 feet

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