Asked by Kate

House B is located at a bearing of N67°E from house A. House C is 370 meters from house A at a bearing of S68°E. House B is located at a bearing of N11°W from house C. Find the distance from house A to house B. (Round your answer to two decimal places.)

Sorry, I would post my drawing but it won't let me!
Answered by Steve
Extend AB to meet the vertical from C at D.

It is easy to determine that in triangle ABC

∠C = 47°
∠B = 88°

Now just use the law of sines to get AB.
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