Answer
$50.24\ m$
Work Step by Step
See figure, half of the top angle is $\frac{58.746^\circ}{2}=29.373^\circ$ and half of the base is $\frac{49.28}{2}=24.64$, thus $x=\frac{24.64}{sin29.373^\circ}\approx50.24\ m$
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