Solve the Problem $\theta$ Angles $\mathrm { PQR }$ And VRQ Are Right Angles

Multiple Choice

Solve the problem.
-Let angle POQ be designated $\theta$ . Angles $\mathrm { PQR }$ and VRQ are right angles. If $\theta = 38 ^ { \circ }$ , find the length of PQ accurate to four decimal places.

A) $0.6157$
B) $0.7813$
C) $0.7880$
D) $1.6243$