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Math

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From the top of a lighthouse 210 feet high, the angle if depression to a boat is 27 degress. Find the distance from the boat to the food of the lighthouse. The lighthouse was built at sea level.

  • Math -

    Draw a rectangle with the long sides
    hor and the short sides(210ft) ver.
    Draw a diagonal from the upper left hand corner to the lower rt corner.

    The angle between the diagonal and the
    top hor side is the angle of depression.

    tan27 = Y/X,
    tan27 = 210/X,
    X = 210 / tan27 = 412ft = dist. from
    boat to foot of lighthouse.

  • Math -

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