Determine the Angle $\theta$ In the Design of the Streetlight Shown in the Following

Multiple Choice

Determine the angle $\theta$ in the design of the streetlight shown in the following figure. $a = 4 , b = 5 \frac { 1 } { 2 } , c = 3$

A) $97.6 ^ { \circ }$
B) $112.6 ^ { \circ }$
C) $92.6 ^ { \circ }$
D) $102.6 ^ { \circ }$
E) $107.6 ^ { \circ }$