trigonometry

posted by Julyn

from a window 30ft above the ground, the angle of elevation to the top of the building across the street is 50° and the angle of depression to the base of the building is 20° find the height of the building across the street

  1. Reiny

    I am sure you made a sketch.
    On mine, I labeled the window position W, the top of the building across the street T and the bottom of the building B. I also labeled the point where the horizontal from W meets TB as M

    In triangle WBM,
    tan20° = 30/WM
    WM = 30/tan20°

    in triangle WMT ,
    tan50° = TM/WM
    TM = WMtan50 = (30/tan20)(tan50)
    = ...

    TB = 30 + TM = ...

    you do the button-pushing

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