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Math·Geometry and Trigonometry·Right triangles and trigonometry

hard

In triangle $XYZ$, the measure of angle $X$ is $90^{\circ }$. Point $W$ lies on segment $YZ$, and segment $WX$ is perpendicular to segment $YZ$. The length of segment $WY$ is $684$, and the length of segment $WX$ is $513$. What is the value of $\tan Z$?

A

$\frac{4}{3}$

B

$\frac{1}{5}$

C

$\frac{3}{4}$

D

$\frac{5}{3}$