SOLUTION: The fire is cited from to fire lookout stations that are 2 miles apart. From station a, the Ranger measures the angle between the other station and the fire to be 72°. from stati

Algebra ->  Test -> SOLUTION: The fire is cited from to fire lookout stations that are 2 miles apart. From station a, the Ranger measures the angle between the other station and the fire to be 72°. from stati      Log On


   

Question 1157456: The fire is cited from to fire lookout stations that are 2 miles apart. From station a, the Ranger measures the angle between the other station and the fire to be 72°. from station b, the Ranger measures the angle between the other station in the fire to be 58°. Which station is closer, and how far is it from the fire, to the nearest 10 tenth of a mile.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
F for FIRE, and stations A and B, triangle

Triangle ABF,
Angle at A is 72 degrees.
Angle at B is 58 degrees.
Angle at F is 180-72-58 degrees or 50 degrees.


If you feel it is necessary, law of sines gives
sin%2872%29%2FBF=sin%2850%29%2F2=sin%2858%29%2FAF.