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March 24, 2017

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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.

  • calculus - ,

    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

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