Solve the Problem $\mathrm { AB }$ Across a River, a Distance

Multiple Choice

Solve the problem.
-To find the distance $\mathrm { AB }$ across a river, a distance $\mathrm { BC } = 1101 \mathrm {~m}$ is laid off on one side of the river. It is found that $\mathrm { B } = 112.8 ^ { \circ }$ and $\mathrm { C } = 12.0 ^ { \circ }$ . Find $\mathrm { AB }$ rounded to the nearest meter.

A) $230 \mathrm {~m}$
B) $279 \mathrm {~m}$
C) $282 \mathrm {~m}$
D) $233 \mathrm {~m}$