The angle of elevation of the top of a vertical tower 50 meters high from a point \(X\) on the ground is 30 degrees. From a point \(Y\) on the opposite side of the tower, the angle of elevation of the top of the tower is 60 degrees. Find the distance between the points \(X\) and \(\mathrm{V}\)

A. \(14.43 \mathrm{~m}\)
B. \(77.73 \mathrm{~m}\)
C. \(101.03 \mathrm{~m}\)
D. \(115.47 \mathrm{~m}\)  

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Correct Answer: D