PreCalculus
posted by Sharon on .
I need help with this problem:
The bearing from the Pine Knob fire tower to the Colt Station fire tower is N 65 degrees E, and the two towers are 30 kilometers apart. A fire spotted by rangers in each tower has a bearing of N 80 degrees E from Pine Knob and S 70 degrees E from Colt Station. Find the distance of the fire from each tower.

Solve the triangle formed by the Pine Knob fire tower (A), The Colt fire tower (B) and the fire (C). Put A at the origin. Draw yourself a graph. From the bearings given, you can determine all three angles of the tringle. (You should find that angle A is 15 degrees, for example). You also know the length of one side (c = 30 km). Use the law of sines to get the other two sides.

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