Question e709a29

$upper R upper S equals 440$

$upper S upper T equals 384$

$upper T upper R equals 584$

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

Geometry and Trigonometry - Right triangles and trigonometry