A plane flies 810 miles from A to B with a bearing of 75 degrees. Then it flies 648 miles from B to C with a bearing of 32 degrees. Find the straightline distance from and bearing from C to A.

Answer 1

actually, planes fly on headings, not bearings.

Setting A at (0,0), B is at

(810 sin 75, 810 cos 75) = (782,210)

moving from B to C adds another

(648 sin 32, 648 cos 32) = (343,550)

so C is at (1125,760)

distance is 1358

heading from C to A is 236