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    Finding a Distance (X) : Triangles and Circles

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    I would like help in setting up the construction to solve for the value of X in this problem. I have tried to form right triangles to solve it but not been able.
    The value of Theta is 52 degrees and the value of X the book gives is 1.1763.
    Please see the attached diagram.

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    Solution Summary

    Trigonometric relations are used to find a distance. The solution is well presented.