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26 August, 06:33

A person in a balloon which is 2,000 feet above the airport finds that the angle of depression to a ship out at sea is 21°. Find the horizontal distance between the balloon and the ship.

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  1. 26 August, 07:32
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    The horizontal distance is given by the formula:

    tan θ=opposite/adjacent

    where:

    θ=21

    opposite=2000 ft

    adjacent=a

    thus calculating for a we get:

    tan 21=2000/a

    thus

    a=2000/tan 21

    a=5210.18 ft

    Answer: 5210.18 ft
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