Solve the Problem $C$ Is $101.0$ Meters From $A$ the Measure of Angle BAC Is

Multiple Choice

Solve the problem.
-Points A and B are on opposite sides of a lake. Point $C$ is $101.0$ meters from $A$ . The measure of angle BAC is $76 ^ { \circ } 30 ^ { \prime }$ , and the measure of angle ACB is determined to be $39 ^ { \circ } 30 ^ { \prime }$ . Find the distance between points $\mathrm { A }$ and $\mathrm { B }$ (to the nearest meter) .

A) $69 \mathrm {~m}$
B) $34 \mathrm {~m}$
C) $71 \mathrm {~m}$
D) $36 \mathrm {~m}$