Solve the Problem $99.6$ Meters from A $\mathrm { BAC }$ Is $77 ^ { \circ } 50 ^ { \prime }$

Multiple Choice

Solve the problem.
-Points A and B are on opposite sides of a lake. Point C is $99.6$ meters from A. The measure of angle $\mathrm { BAC }$ is $77 ^ { \circ } 50 ^ { \prime }$ , and the measure of angle $\mathrm { ACB }$ is determined to be $33 ^ { \circ } 50 ^ { \prime }$ . Find the distance between points $A$ and $B$ (to the nearest meter) .

A) $58 \mathrm {~m}$
B) $30 \mathrm {~m}$
C) $60 \mathrm {~m}$
D) $28 \mathrm {~m}$