Two Points P and Q Are on Opposite Sides of a River

Multiple Choice

Two points P and Q are on opposite sides of a river (see the sketch) . From P to another point R on the same side is 340 ft. Angles $P R Q$ and $R P Q$ are found to be $23 ^ { \circ }$ and $120 ^ { \circ }$ , respectively. Compute the distance from P to Q, across the river. (Round your answer to the nearest foot.)

A) $P Q = 221$ ft.
B) $P Q = 354$ ft.
C) $P Q = 246$ ft.
D) $P Q = 524$ ft.
E) $P Q = 694$ ft.