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An airplane over the pacific sights an atoll at 8 degree angle of depression. If the plane is 520hm above water, how many kilometers is it from a point 520 m directly above the center of the atoll?

Help please :]

  • geometry -

    Assume the Earth is flat.
    Draw a figure with flat horizontal Earth surface along the bottom. Put three points on the figure:
    P (airplane)
    A (atoll on the ground)
    B (point 520 m above the atoll)

    Draw the (right) triangle PAB. The angle at P is 8 degrees, aimed below horizontal to point A

    It should be obvious that
    BA = 520
    PB = 520/tan 8 = 3700 m

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