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

Multiple Choice

A park ranger at point $A$ observes a fire in the direction $\mathrm { N } \mathrm {} 29 ^ { \circ } 15 ^ { \prime } \mathrm { E }$ . Another ranger at point $B , 9$ miles due east of $A$ , sites the same fire at $\mathrm { N } 50 ^ { \circ } 39 ^ { \prime } \mathrm { W }$ . Determine the distance from point $B$ to the fire. Round answer to two decimal places.

A) $4.47$ miles
B) $4.72$ miles
C) $7.98$ miles
D) $7.07$ miles
E) $7.47$ miles