A Park Ranger at Point $A$ Observes a Fire in the Direction

A park ranger at point $A$ observes a fire in the direction $\mathrm { N } 27 ^ { \circ } 27 ^ { \prime } \mathrm { E }$ . Another ranger at point $B , 9$ miles due east of $A$ , sites the same fire at $\mathrm { N } _ { 5 } 4 ^ { \circ } 28 ^ { \prime } \mathrm { W }$ . Determine the distance from point $B$ to the fire. Round answer to two decimal places.

A) $4.19$ miles
B) $4.66$ miles
C) $8.07$ miles
D) $7.40$ miles
E) $8.22$ miles

Correct Answer:

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