Find the Unknown Sides of the Right Triangle (See Illustration) $$c= 49.1 \mathrm {~cm} , \angle A = 36.6 ^ { \circ }$$

Multiple Choice

Find the unknown sides of the right triangle (see illustration) . Round your answer to the appropriate number of significant digits. $$c= 49.1 \mathrm {~cm} , \angle A = 36.6 ^ { \circ }$$

A) a = 61.2 cm, b = 66.1 cm
B) a = 29.0 cm, b = 39.6 cm
C) a = 36.5 cm, b = 61.2 cm
D) a = 29.3 cm, b = 39.4 cm
E) a = 82.4 cm, b = 36.5 cm