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

Question

Quizplus · Accepted Answer

Using the law of sines in the triangle formed by points A, B, and the fire, we find the distance from B to the fire is approximately 8.07 miles.

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

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