Solve the Right Triangle $$a = 46.78 \mathrm {~m} , b = 19.34 \mathrm {~m}$$

Multiple Choice

Solve the right triangle. Round your answer to the appropriate number of significant digits. $$a = 46.78 \mathrm {~m} , b = 19.34 \mathrm {~m}$$

A) $c = 50.62 \mathrm {~m} , \angle A = 67.54 ^ { \circ } , \angle B = 22.46 ^ { \circ }$
B) $c = 19.34 \mathrm {~m} , \angle A = 25.51 ^ { \circ } , \angle B = 64.49 ^ { \circ }$
C) $c = 50.62 \mathrm {~m} , \angle A = 41.82 ^ { \circ } , \angle B = 48.18 ^ { \circ }$
D) $c = 66.12 \mathrm {~m} , \angle A = 67.54 ^ { \circ } , \angle B = 22.46 ^ { \circ }$
E) $c = 19.34 \mathrm {~m} , \angle A = 22.46 ^ { \circ } , \angle B = 67.54 ^ { \circ }$