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Math Help - Sine Law

  1. #1
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    Sine Law

    I'm required to figure out an angle for part of one of my physics questions. Got this so far:

    Sin C / c = Sin B / b
    Sin 40 / 27.83 = Sin B / 20
    (0.6428) / 27.83 = Sin B / 20
    (0.6428)(20) = (27.83)(Sin B)
    12.586 = 27.83(Sin B)
    [12.586 = 27.83(Sin B)] / 27.83
    0.4620 = Sin B

    I've gotten up to here so far. Though, I have no idea what to do next. Is 0.4620 my answer (angle of 46 degrees), or do I still have to do something with Sin B?
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  2. #2
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    Quote Originally Posted by shadow6 View Post

    Sin C / c = Sin B / b
    Sin 40 / 27.83 = Sin B / 20
    \frac{\sin 40}{27.83} = \frac{\sin B}{20}

    \frac{20\sin 40}{27.83} = \sin B

     \sin B=\frac{20\sin 40}{27.83}

      B=\sin^{-1}\left(\frac{20\sin 40}{27.83} \right)
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  3. #3
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    Tyvm.
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