Solve the Right Triangle $b = 71.0 \mathrm { mi } , c = 77.0 \mathrm { mi }$

Multiple Choice

Solve the right triangle. Round your answer to the appropriate number of significant digits. $b = 71.0 \mathrm { mi } , c = 77.0 \mathrm { mi }$

A) $a = 29.8 \mathrm { mi } , \angle A = 52.3 ^ { \circ } , \angle B = 37.7 ^ { \circ }$
B) $a = 29.8 \mathrm { mi } , \angle A = 22.8 ^ { \circ } , \angle B = 112.8 ^ { \circ }$
C) $a = 29.8 \mathrm { mi } , \angle A = 22.8 ^ { \circ } , \angle B = 67.2 ^ { \circ }$
D) $a = 77.0 \mathrm { mi } , \angle A = 67.2 ^ { \circ } , \angle B = 22.8 ^ { \circ }$
E) $a = 71.0 \mathrm { mi } , \angle A = 22.8 ^ { \circ } , \angle B = 67.2 ^ { \circ }$