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Math·Geometry and Trigonometry·Right triangles and trigonometry

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$RS=792$ $ST=160$ $TR=808$

The side lengths of right triangle $RST$ are given. Triangle $RST$ is similar to triangle $UVW$, where $S$ corresponds to $V$ and $T$ corresponds to $W$. What is the value of $\tan W$?

A

$\frac{20}{101}$

B

$\frac{20}{99}$

C

$\frac{99}{101}$

D

$\frac{99}{20}$