You are measuring the height of a statue. You stand 17 feet from the base of the statue. You measure the angle of elevation from the ground

Question

You are measuring the height of a statue. You stand 17 feet from the base of the statue. You measure the angle of elevation from the ground to the top of the statue to be 61º. Find the height h​ of the statue to the nearest foot.

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Autumn 2 weeks 2021-09-10T06:38:39+00:00 1 Answer 0

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    2021-09-10T06:40:27+00:00

    Answer:

    height ≈ 31 ft

    Step-by-step explanation:

    The illustration below will form a right angle triangle. He is standing 17 ft away from the base of the statue.  The angle of elevation from the ground to the top of the statue  is 61°. The height of the statue can be computed below.

    adjacent side of the triangle = 17 ft

    opposite side = a

    Using SOHCAHTOA principle

    tan 61° = opposite/adjacent

    tan 61° = a/17

    cross multiply

    a = 17 tan 61°

    a = 17 × 1.80404775527

    a = 30.6688118396

    a ≈ 31 ft

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