Solve the Problem $\mathrm { POQ }$ Be Designated $\theta$ Angles $\mathrm { PQR }$

Multiple Choice

Solve the problem.
-Let angle $\mathrm { POQ }$ be designated $\theta$ . Angles $\mathrm { PQR }$ and VRQ are right angles. If $\theta = 45 ^ { \circ }$ , find the exact length of VR.

A) $\frac { \sqrt { 2 } } { 2 }$
B) $\sqrt { 2 }$
C) 0
D) 1