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Math Help - How to I Find Angle (and Vice Versa)

  1. #1
    Junior Member masoug's Avatar
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    Question How to I Find Angle (and Vice Versa)

    Hi, I have a question, according to the diagram shown below,

    what is x if the slope is known, (such as \frac{5}{9}). How do we find slope if we know x?
    Note: Figure is not drawn to scale.

    Thanks!

    -Masoug
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  2. #2
    MHF Contributor
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    I don't understand your question - are you using \displaystyle x to denote the angle made with the \displaystyle x axis? Or are you using it to denote an \displaystyle x coordinate?

    If you are referring to an angle, you should use \displaystyle \theta.
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  3. #3
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    The "slope" of a line is the tangent of the angle, \frac{y}{x}= tan(\theta), so the angle is the inverse tangent:
    \theta= tan^{-1}(\theta)= arctan(\theta).

    I don't understand the "vice-versa" part of your question. Your original question was "how do I find the angle" so "vice-versa" would be "how does the angle find me"!
    Last edited by HallsofIvy; November 11th 2010 at 03:29 AM.
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  4. #4
    Junior Member masoug's Avatar
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    Thanks for the quick replies. Sorry for the failed picture too...

    What I meant by "vice versa" is if I know the angle, can I find the slope?

    -Masoug
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