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

Multiple Choice

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

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