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Trig

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A 60 ft. antenna stands on top of a building, From a point on the ground, the angles of elevation to the top and bottom of the antenna measure 58 and 44 respectively. How tall is the building

  • Trig -

    Triangle ABC, A the point of angle measurement on he ground, B the base of the antenna and C, the top of the antenna. Extend CB to ground level at D.

    Angle CAB = 58 - 44 = 14º
    Angle ACB = 32º
    60/sin14 = AB/sin32
    AB = 60sin32/sin14
    h = BD = ABsin44º

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