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Math Help - Find X

  1. #1
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    Find X

    Find x in the diagram below. Show how you got it please.

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  2. #2
    Senior Member topher0805's Avatar
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    Going to need a bit more information than that.
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  3. #3
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    1. Notice that RT is twice the length of RS (i.e. RT = 2RS). You know angle RST is a right angle as RT is your diameter so using your trigonmetric functions, we see that :
    cos x = \frac{RS}{RT} = \frac{RS}{2RS} = \frac{1}{2}

    2. If two chords, call them AB and CD, intersect at some point P in the circle, then (PA)(PB) = (PC)(PD). Applying that to your question, (QM)(QP) = (QL)(QM). Solve for x.
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