Trig

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From a point P on level ground, the angle of elevation of the top of a tower is 27°10'. From a point 23.0 meters closer to the tower and on the same line with P and the base of the tower, the angle of elevation of the top is 51°30'. Approximate the height of the tower. (Round your answer to the nearest tenth.)

  • Trig -

    If the height is h, and P is x m from the base,

    h/x = tan 27°10' = .5132
    h/(x-23) = tan 51°30' = 1.2572

    rearranging things a bit,

    h = .5132x = 1.2572(x-23)
    x = 38.8651
    so, h = 19.9456, or 19.9m

  • Elevation -

    22.5[39/3m]

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