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16 August, 01:46

The angle of inclination from the base of skyscraper A to the top of skyscraper B is approximately 10.4degrees. If skyscraper B is 1472 feet tall, how far apart are the two skyscrapers? Assume the bases of the two buildings are at the same elevation.

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  1. 16 August, 01:53
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    8020 feet

    Step-by-step explanation:

    The tangent relation can be used to answer this question, since it relates the sides of a right triangle to the acute angle.

    tan (elevation angle) = (1472 ft) / (distance between)

    Then ...

    distance between = (1472 ft) / tan (10.4°) ≈ 8020 ft

    The skyscrapers are 8020 feet apart.
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