Solve the Right Triangle $\angle B = 22.9 ^ { \circ } , c = 56.0 \mathrm { mi }$

Solve the right triangle. Round your answer to the appropriate number of significant digits. $\angle B = 22.9 ^ { \circ } , c = 56.0 \mathrm { mi }$

A) $a = 21.8 \mathrm { mi } , b = 51.6 \mathrm { mi } , \angle A = 22.9 ^ { \circ }$
B) $a = 21.8 \mathrm { mi } , b = 51.6 \mathrm { mi } , \angle A = 67.1 ^ { \circ }$
C) $a = 51.6 \mathrm { mi } , b = 21.8 \mathrm { mi } , \angle A = 67.1 ^ { \circ }$
D) $a = 51.6 \mathrm { mi } , b = 21.8 \mathrm { mi } , \angle A = 90.0 ^ { \circ }$
E) $a = 51.6 \mathrm { mi } , b = 21.8 \mathrm { mi } , \angle A = 22.9 ^ { \circ }$

Correct Answer:

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