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

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- Jul 12th 2009, 06:01 PMjordangiscoolLaw of Cosine Word Problems
A plane flies 810 miles from A to B with a bearing of N 75 degrees E. Then it flies 648 miles from B to C with a bearing of N 32 degrees E. Find the straight-line distance and bearing from C to A

- Jul 13th 2009, 04:20 AMsa-ri-ga-ma
- Jul 13th 2009, 07:08 AMSoroban
Hello, jordangiscool!

Quote:

A plane flies 810 miles from A to B with a bearing of N 75° E.

Then it flies 648 miles from B to C with a bearing of N 32° E.

Find the straight-line distance and bearing from C to A

Code:`Q o C`

: *

:32°*

: *

: *

P 105° |*

: o B

: * :

: * 75° :

: 75° * :

: * R

A o

The plane flies from to

. .

Then it flies from to

. .

Draw line segment

We have .

Law of Cosines: .

Got it?