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    gpmn123's Avatar
    gpmn123 Posts: 2, Reputation: 1
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    #1

    Feb 25, 2009, 07:23 PM
    Length between two buildings
    The angle of depression of a taller building to the top of a shorter building is 18 degress. The anlge of depression from the top of the taller building to the base of the shorter building is 32 degrees. The height of the shorter building is 200 feet. What is the distance between the two buildings?
    Perito's Avatar
    Perito Posts: 3,139, Reputation: 150
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    #2

    Feb 25, 2009, 08:46 PM


    X is the height of the higher tower *above* the 200 ft tower.
    D is the distance between towers.

    Tan(α) = X/D
    Tan(β) = (X+200)/D

    Tan(α)/Tan(β) = X/(X+200)
    α = 18 degrees
    β = 32 degrees.

    Calculate the tangents and solve for X
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