- #1

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**Problem**

*Distance:*

From city A to city B, a plane flies 650 miles at a bearing of N 48° E. From city B to city C, the plane flies 810 miles at a bearing of S 65° E. Find the distance from A to C and the bearing from A to C.

**Work so far**

So far I've gotten the distance from A to C already, but I'm having trouble figuring out what to do, to find the bearing. Its sort of difficult to show what I did to get the sides because it involves drawing a series of other triangles and finding the lengths of some of their sides and adding them in some places and subtracting in others. But the tactic I took in solving for the length was setting A to (0,0) and attempting to find the x and y coordinates for C separately.

What I got for the distance from A to C is, AC≈ 1220.671.

Thanks, I hope someone can help me.