Solve the Problem $\mathrm { A }$ And $\mathrm { B } , 7.24 \mathrm { mi }$

Solve the problem.
-Radio direction finders are set up at points $\mathrm { A }$ and $\mathrm { B } , 7.24 \mathrm { mi }$ apart on an east-west line. From $A$ it is found that the bearing of a signal from a transmitter is $\mathrm { N } \mathrm {} 50.2 ^ { \circ } \mathrm { E }$ , while from B it is $\mathrm { N } 39.8 ^ { \circ } \mathrm { W }$ . Find the distance of the transmitter from $B$ , to the nearest hundredth of a mile.

A) $4.13 \mathrm { mi }$
B) $6.06 \mathrm { mi }$
C) $4.63 \mathrm { mi }$
D) $5.56 \mathrm { mi }$

Correct Answer:

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