Solve the Problem $12 \mathrm { mi }$ Due East of Station A

Multiple Choice

Solve the problem.
-Lookout station B is located $12 \mathrm { mi }$ due east of station A. The bearing of a fire from A is $\mathrm { S } 10 ^ { \circ } 10 ^ { \prime } \mathrm { W }$ and the bearing from B is $\mathrm { S } 38 ^ { \circ } 40 ^ { \prime } \mathrm { W }$ . Determine the distance from the fire to $\mathrm { B }$ (to the nearest tenth of a mile) .

A) $14.4 \mathrm { mi }$
B) $24.8 \mathrm { mi }$
C) $26.8 \mathrm { mi }$
D) $12.4 \mathrm { mi }$