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

    Feb 25, 2009, 06:51 PM
    Trigonometry of two buildings
    The angle of depretion from the top of a tall building to the top of a shorter building is 18 degrees and the angle of depretion from the taller building to the base of the shorter building is 32 degrees. The hight of the shorter building is 200 feet. What is the height of the taller building?
    Perito's Avatar
    Perito Posts: 3,139, Reputation: 150
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    #2

    Feb 25, 2009, 08:42 PM

    "depretion"? I guess I don't know that word.

    Tan(α) = X/D
    Tan(β) = (X+200)/D
    X is the height of the higher tower above the height of the 200 ft tower.
    D is the distance between the towers.

    Tan(α)/Tan(β) = X/(X+200)
    The factor, D, drops out. It doesn't matter what it is.

    α = 18 deg
    β = 32 deg

    Calculate the ratio of the tangents and solve for X
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    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #3

    Feb 26, 2009, 10:30 AM

    They mean 'angle of depression'
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