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the angle of depression of the top and bottom of an 8m tall building from the top of a multi storyed buiding are 30degree and 45 degree respectively find the height of the multi storyed building and the distance between 2 buildings

  • math -

    Let the height of the multistory building be y and the distance between them be x. The draw yourself a figure.

    You should be able to convince yourself that
    y/x = tan 45 = 1
    (y-8)/x) = tan30 = 0.5774 = (x-8)/x
    1 - (8/x) = 0.5774
    8/x = 0.4226
    x = 18.9 m
    y = 18.9 m

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