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Math Help - finding angles using bearings

  1. #1
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    finding angles using bearings

    A man starts walking from point A at a bearing of 56. He walks for 400m and stops at point B. He then walks a bearing of 300 for 200m and stops at point C. From there he returns to point A.

    Could I have some help finding the interior angles of this triangle, using theorems or trig or something, I am completely lost...
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  2. #2
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    Quote Originally Posted by boonies View Post
    A man starts walking from point A at a bearing of 56. He walks for 400m and stops at point B. He then walks a bearing of 300 for 200m and stops at point C. From there he returns to point A.

    Could I have some help finding the interior angles of this triangle, using theorems or trig or something, I am completely lost...
    1. Make a sketch.

    2. The greyed angle must be 56. Then you can calculate the red angle.

    3. Now use Cosine rule to calculate \overline{AC}

    4. Now you can use either Sine rule or Cosine rule to calculate the missing angles.
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