SOLUTION: a point B is 8km from point A on a bearing of 140 degrees from A. Point C is 9km from A on a bearing of 200 degrees from A. How far is B from C?

Question 1182020: a point B is 8km from point A on a bearing of 140 degrees from A. Point C is 9km from A on a bearing of 200 degrees from A. How far is B from C?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Draw this triangle with AB=8 an AC=9.
Angle A is 60 degrees, because the angle from AB to the South line is 40 degrees and there is 20 more degrees to reach AC.
Use the law of cosines.
side a^2 opposite to angle A=b^2+c^2-2bc CosA
=64+81-2(72)*0.5
=145-72
=73 km^2
a=8.544 km, and this is the distance between B and C.
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