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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Sapo 3 years 2021-09-05T08:07:26+00:00 1 Answers 6 views 0

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  1. quangkhai
    0
    2021-09-05T08:08:36+00:00
    Reply

    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

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