Solve
-Points $\mathrm { A }$ And $\mathrm { B }$ Are on Opposite Sides of a Lake

Multiple Choice

Solve.
-Points $\mathrm { A }$ and $\mathrm { B }$ are on opposite sides of a lake. A point $\mathrm { C }$ is $89.2$ meters from $\mathrm { A }$ . The measure of angle BAC is $75 ^ { \circ } 40 ^ { \prime }$ , and the measure of angle $\mathrm { ACB }$ is determined to be $39 ^ { \circ } 30 ^ { \prime }$ . Find the distance between points $\mathrm { A }$ and $\mathrm { B }$ (to the nearest meter) .

A) $30 \mathrm {~m}$
B) $61 \mathrm {~m}$
C) $32 \mathrm {~m}$
D) $63 \mathrm {~m}$