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Math Help - [SOLVED] height of a building using angles of elevation & depression

  1. #1
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    [SOLVED] height of a building using angles of elevation & depression

    The angle of elevation from the top of a small building to the top of a nearby taller building is 4640', while the angle of depression to the bottom is 1410'. If the smaller building is 28 meters high, find the height of the taller building.
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  2. #2
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    Dear somanyquestions,

    Please refer to the attached drawing.

    y=\frac{28}{tan14^{o}10'}

    y=110.93

    tan46^{o}40'=\frac{x}{y}=\frac{x}{110.93}

    Therefore, x=117.57

    Height of the tall building=x+28=145.57m

    Hope this will help you.
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