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Math Help - Pre/cal Trig class - bearing problem

  1. #1
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    Pre/cal Trig class - bearing problem

    Hi, this is my first time posting. I get most of this easily, but I just cannot draw the picture correctly for this particular problem.

    Two fire lookouts are located 12 miles apart. Lookout A is at a bearing of N32W of lookout B. A fire was sighted at a bearing of S79E from A and N67E from B. Find the distance of the fire from lookout B.

    I appreciate your speedy help! I just need the picture, then I'll apply either Law of Sines or Law of Cosines to find the distance I need. Paula
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  2. #2
    A riddle wrapped in an enigma
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    Quote Originally Posted by pnoch5 View Post
    Hi, this is my first time posting. I get most of this easily, but I just cannot draw the picture correctly for this particular problem.

    Two fire lookouts are located 12 miles apart. Lookout A is at a bearing of N32W of lookout B. A fire was sighted at a bearing of S79E from A and N67E from B. Find the distance of the fire from lookout B.

    I appreciate your speedy help! I just need the picture, then I'll apply either Law of Sines or Law of Cosines to find the distance I need. Paula
    See if this attachment describes what you have.
    Attached Thumbnails Attached Thumbnails Pre/cal Trig class - bearing problem-bearing.png  
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  3. #3
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    Well, you rock

    After applying the law of sines, I wound up with lookout B approx. 15.69448 miles from the fire. I got very frustrated with the angles around lookout A.

    Thanks so much!
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