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## Bob is driving along a straight and level road toward a mountain. At some point on his trip, he measures the angle of elevation to the top o

Question

Bob is driving along a straight and level road 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.

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Mathematics
3 years
2021-09-05T08:07:26+00:00
2021-09-05T08:07:26+00:00 1 Answers
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## Answers ( )

Answer:

5353 ft

Step-by-step explanation:

We have height of the mountain = x

We also have

tan (21°44′)= x/13428.7 → x=5352.98ft

Height of the mountain to the nearest foot = 5353 ft

Hope this helps ʕ•ᴥ•ʔ