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Math Help - Can you help me?

  1. #1
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    Can you help me?




    A,B and C are three points on the map such that the bearing of C from A is 50o and the bearing of C from B is 135o. The distance between A and B is 10 kilometers( See the figure )






    Find the angles ABC and ACB
    (a)Use the sine formula to find the distance between A and C and the distance between
    B and C
    Find The area of ABC
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  2. #2
    Moo
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    Hello,
    Find the angles ABC and ACB
    ABC=180-135 (because there's the line AB)
    ACB=180-(BAC+ABC), because the sum of angles of a triangle is 180.

    (a)Use the sine formula to find the distance between A and C and the distance between
    B and C
    http://en.wikipedia.org/wiki/Law_of_sines

    Find The area of ABC
    See in the same link, the formula :
    2R=\frac{abc}{2S}
    where S is the area
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  3. #3
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    Thank you very much ..

    For the area I used this formula:

    Area=0.5*base*height
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  4. #4
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    How did you find the height?
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  5. #5
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    Quote Originally Posted by HallsofIvy View Post
    How did you find the height?
    Height=AC*sin 50
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