SOLUTION: Rescue teams at two heliports, A and B, receive word of a fire at F. a). What is m<AFB? B). To the nearest mile, what are the distances from each heliport to the fire? C).

Algebra ->  Equations -> SOLUTION: Rescue teams at two heliports, A and B, receive word of a fire at F. a). What is m<AFB? B). To the nearest mile, what are the distances from each heliport to the fire? C).       Log On


   



Question 973785: Rescue teams at two heliports, A and B, receive word of a fire at F.
a). What is m B). To the nearest mile, what are the distances from each heliport to the fire?
C). If a helicopter travels 150 mi/h, how much time is saved by sending a helicopter from A rather than B?
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Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Use the law of sines
A/sinA = B/sin B = C/sin C
Angle F has 91 degrees
sin 91/18.3=.0546
Solving for the other two sides, BF is 14.23 miles; AF is 11.27 miles. It is 2.96 miles closer from A, and at 150 mph it is 0.0197 hours, or 71 seconds or a minute and 11 seconds.