Posted by tori on Thursday, February 16, 2012 at 10:54pm.
On a map, Town A is 8 km due south of Town B, Town C is 9 km from Town A, and Town C is 3 km from Town B (see figure below). Find the bearing from Town A to Town C and the bearing from Town B to Town C.
- geometry - yoyoma, Thursday, February 16, 2012 at 11:33pm
Hello, there is no figure but I shall try my best to figure it out.
I think this is probably a triangle.
A is 9 km SW of C and B is 3 km NW of C. I hope this helps.
- geometry - tori, Thursday, February 16, 2012 at 11:48pm
Thank you a ton!!
- geometry - yoyoma, Thursday, February 16, 2012 at 11:51pm
- geometry - Steve, Friday, February 17, 2012 at 10:47am
To find the actual bearings, find the angles A,B,C, using the law of cosines. For example,
BC2 = AB2 + AC2 - 2*AB*AC*cosA
9 = 64 + 81 - 144cosA
cosA = 136/144
A = 19º
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