Solve the Right Triangle $$\angle B = 76.45 ^ { \circ } , c = 92.95 \mathrm {~km}$$

Multiple Choice

Solve the right triangle. Round your answer to the appropriate number of significant digits. $$\angle B = 76.45 ^ { \circ } , c = 92.95 \mathrm {~km}$$

A) $a = 21.78 \mathrm {~km} , b = 90.36 \mathrm {~km} , \angle A = 76.45 ^ { \circ }$
B) $a = 21.78 \mathrm {~km} , b = 90.36 \mathrm {~km} , \angle A = 103.55 ^ { \circ }$
C) $a = 21.78 \mathrm {~km} , b = 95.47 \mathrm {~km} , \angle A = 13.55 ^ { \circ }$
D) $a = 90.36 \mathrm {~km} , b = 21.78 \mathrm {~km} , \angle A = 76.45 ^ { \circ }$
E) $a = 21.78 \mathrm {~km} , b = 90.36 \mathrm {~km} , \angle A = 13.55 ^ { \circ }$