Solve the Right Triangle $\angle A = 68.6 ^ { \circ } , c = 37.4 \mathrm {~m}$

Multiple Choice

Solve the right triangle. Round your answer to the appropriate number of significant digits. $\angle A = 68.6 ^ { \circ } , c = 37.4 \mathrm {~m}$

A) $a = 34.8 \mathrm {~m} , b = 13.6 \mathrm {~m} , \angle B = 68.6 ^ { \circ }$
B) $a = 34.8 \mathrm {~m} , b = 13.6 \mathrm {~m} , \angle B = 21.4 ^ { \circ }$
C) $a = 13.6 \mathrm {~m} , b = 34.8 \mathrm {~m} , \angle B = 21.4 ^ { \circ }$
D) $a = 34.8 \mathrm {~m} , b = 13.6 \mathrm {~m} , \angle B = 158.6 ^ { \circ }$
E) $a = 13.6 \mathrm {~m} , b = 34.8 \mathrm {~m} , \angle B = 68.6 ^ { \circ }$