Vectors Help. Mathematics Specialist.

[realplayer1]

From Lookout No.1, a fire is spotted on a bearing of 050 degrees. From Lookout No.2, a fire is spotted on a bearing of 020 degrees. Lookout No.2 is 10 kilometers apart from Lookout No.1 on a bearing of 120 degrees. Assuming that the fire and the two lookouts are all on the same horizontal level, find how far the fire is from each lookout.

 

[LCKurtz]

From Lookout No.1, a fire is spotted on a bearing of 050 degrees. From Lookout No.2, a fire is spotted on a bearing of 020 degrees. Lookout No.2 is 10 kilometers apart from Lookout No.1 on a bearing of 120 degrees. Assuming that the fire and the two lookouts are all on the same horizontal level, find how far the fire is from each lookout.

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[QuarkCharmer]

If it's any consolation, I think this question is dying to be plugged into the Law of Sines and/or Cosines. It's not exactly vector related.