Question
Bob is driving along a straight and level road towards a mountain. At some point, he
measures the angle of elevation to the top of the mountain and finds it to be 22.5 degrees. He
then drives 1 mile (5280 ft) and measures the angle of elevation to be 34.4 degrees. Find the
height of the mountain to the nearest tenth of a foot.
Thank you!
measures the angle of elevation to the top of the mountain and finds it to be 22.5 degrees. He
then drives 1 mile (5280 ft) and measures the angle of elevation to be 34.4 degrees. Find the
height of the mountain to the nearest tenth of a foot.
Thank you!
Answers
draw a side view. You can see that if the mountain has height h,
h cot22.5° - h cot33.4° = 5280
h cot22.5° - h cot33.4° = 5280
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