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Math Help - help with trig problems!!!

  1. #1
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    help with trig problems!!!

    Can someone help me with this problem

    1.From a 35 meter high window , the angle of depression to the top of a nearby streetlight is 55*. The angle of depression to the base of the streetlight is 57.8*. how high is the streetlight?

    so far the only result I have come up with is 2.46 m, which is wrong! please don't use either law of sines or law of cosines to solve this problem ! Thanks
    Last edited by vance; May 13th 2009 at 06:06 PM.
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  2. #2
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    Quote Originally Posted by vance View Post
    Can someone help me with these problems;

    1.From a 35 meter high window , the angle of depression to the top of a nearby streetlight is 55*. The angle of depression to the base of the streetlight is 57.8*. how high is the streetlight?

    so far the only result I have come up with is 2.46 m, which is wrong! please don't use either law of sines or law of cosines to solve this problem ! Thanks

    1. hope you made a sketch ...

    let h = height of the light

    x = horizontal distance to the light

    using right triangles ...

    \tan(55) = \frac{35-h}{x}

    \tan(57.8) = \frac{35}{x}

    solve the system of equations for h
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