SOLUTION: Two forest rangers at observation posts A and B, 10 miles apart, spot a fire at point F. The forest rangers know that the measure of angle FAB is 110 degrees and the measure of an

Algebra ->  Trigonometry-basics -> SOLUTION: Two forest rangers at observation posts A and B, 10 miles apart, spot a fire at point F. The forest rangers know that the measure of angle FAB is 110 degrees and the measure of an      Log On


   

Question 1138163: Two forest rangers at observation posts A and B, 10 miles apart, spot a fire at point F. The forest rangers know that the measure of angle FAB is 110 degrees and the measure of angle FBA is 25 degrees. To the nearest tenth of a mile, how far is the fire from the closest observation post?
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Answer by josgarithmetic(39620) About Me  (Show Source):
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Triangle FAB

Measures of Angles
FAB, 110 degrees
FBA, 25 degrees
AFB, 45 degrees

Measure of segment AB, 10 miles

Question asks for segment FA or AF.
Law Of Sines