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Math Help - Trigonometry bearings help:)

  1. #1
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    Trigonometry bearings help:)

    In order to measure the height of a tower, the angle of elevation to the top of the tower was measured from two points on level ground. The points are 1000meters apart and in line with the base of the tower. The measurements were 32 degrees and 58 degrees find the height of the tower correct to the nearest metre.
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  2. #2
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    The distance from the tower to the first point, (58 deg), is x

    The distance from the tower to the second point, (32 deg), is 1000+x

    Let the height of the tower be y.

    Then we have:

    \frac{y}{1000+x}=tan(32)

    and

    \frac{x}{y}=tan(32)

    Solve for x and y.
    Last edited by galactus; November 24th 2008 at 06:39 AM.
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  3. #3
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    hello

    what happened to the 58 degrees? is it tan58 degree=y/1000m
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  4. #4
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    What I posted is equivalent. Nothing happened to it. 90-58=32

    You could also use cot(58) if you like that better.
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  5. #5
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    hey

    oh so 32degrees don't matter in the triangle with 58 degrees.
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  6. #6
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    hello

    can u explain how x/y=tan32?
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