math

From the top of a lighthouse 75 feet high, the cosine of the angle of depression of a boat out
at sea is 4. To the nearest foot, how far is the boat from the base of the lighthouse?

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  1. The cosine can't be greater than 1.

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  2. cosA = 0.4,
    A = 66.4 deg.

    tan66.4 = 75 / d,
    d = 75 / tan66.4 = 33 Ft.

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