Solve the Problem $\theta$ Angles $P Q R$ And VRQ Are Right Angles

Multiple Choice

Solve the problem.
-Let angle POQ be designated $\theta$ . Angles $P Q R$ and VRQ are right angles. If $\theta = 31 ^ { \circ }$ , find the length of US accurate to four decimal places.

A) $1.6643$
B) $0.5150$
C) $0.6009$
D) $1.1666$