Determine the Area of a Triangle Having the Following Measurements $B = 76 ^ { \circ } 30 ^ { \prime } , a = 8$

Multiple Choice

Determine the area of a triangle having the following measurements. Round your answer to two decimal places.
$B = 76 ^ { \circ } 30 ^ { \prime } , a = 8$ , and $c = 13$

A) $60.68$ sq. units
B) $45.51 \mathrm { sq }$ . units
C) $40.45$ sq. units
D) $50.56 \mathrm { sq }$ . units
E) $55.62$ sq. units