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Trigonometry

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a flagpole 25 feet tall stands on a top of a building. from a point in the same horizontal plane with the base of the building. The angle of elevation of the top and the bottom are 61°30' and 56°20' respectively. How high is the building?

  • Trigonometry - ,

    assuming the angles are to the flagpole

    draw a diagram. If the distance from the building is x and the building has height h,

    (h+25)/x = tan61°30'
    h/x = tan56°20'

    equating values of x, we get

    (25+h)56°20' = h tan61°30'
    1.50133(25+h) = 1.84177h
    h = 110.25

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