Solve the Problem $A$ And $B , 8.68 \mathrm { mi }$

question 96

Multiple Choice

Solve the problem.
-Radio direction finders are set up at points $A$ and $B , 8.68 \mathrm { mi }$ apart on an east-west line. From $A$ it is found that the bearing of a signal from a transmitter is $\mathrm { N } 54.3 ^ { \circ } \mathrm { E }$ , while from $\mathrm { B }$ it is $\mathrm { N } 35.7 ^ { \circ } \mathrm { W }$ . Find the distance of the transmitter from B, to the nearest hundredth of a mile.

• A) \(5.07 \mathrm { mi }\)
• B) \(4.57 \mathrm { mi }\)
• C) \(7.05 \mathrm { mi }\)
• D) \(7.55 \mathrm { mi }\)

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