To Find the Distance Across a River a Surveyor Chooses $A$

Multiple Choice

To find the distance across a river a surveyor chooses points $A$ and $B$ , $50$ M apart and a reference point $C$ On the opposite side of the river. Approximate the distance, $b$ , between $A$ And $C$ Given that $\angle \mathrm { A } = 5 4^ { \circ }$ And $\angle B = 77 ^ { \circ }$

A) $54.6 \mathrm {~m}$
B) $77.6 \mathrm {~m}$
C) $64.6 \mathrm {~m}$
D) $45.6 \mathrm {~m}$
E) $85.6 \mathrm {~m}$