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Math Help - Finding Height of Volcano. (Easy Question)

  1. #1
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    Finding Height of Volcano. (Easy Question)




    I'm struggling on this one. I've tried cos22 = h/20,000.

    Then from there I tried sin42= x/the answer I got above.

    That didint work, so I'm completely lost
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  2. #2
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    Quote Originally Posted by WeakTrig View Post



    I'm struggling on this one. I've tried cos22 = h/20,000.

    Then from there I tried sin42= x/the answer I got above.

    That didint work, so I'm completely lost
    let x = horizontal distance from the base of the volcano to its center.

    \tan(42) = \frac{h}{x}<br />

    h = x\tan(42)


    \tan(22) = \frac{h}{20000+x}

    \tan(22) = \frac{x\tan(42)}{20000+x}


    solve for x
    Last edited by skeeter; May 5th 2010 at 05:13 PM. Reason: fix typo
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  3. #3
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    where did you get 22,000 from?
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  4. #4
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    Quote Originally Posted by WeakTrig View Post
    where did you get 22,000 from?
    typo ... should be 20000
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