SOLUTION: A plane files 500 kilometers with a bearing of N 44⁰ W from Naples to Elgin. The plane then flies 720 kilometers from Elgin to Canton. Find the bearing of the flight from Elgin t

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Question 1191451: A plane files 500 kilometers with a bearing of N 44⁰ W from Naples to Elgin. The plane then flies 720 kilometers from Elgin to Canton. Find the bearing of the flight from Elgin to Canton given that Canton is due North of Naples.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A plane files 500 kilometers with a bearing of N 44⁰ W from Naples to Elgin.
The plane then flies 720 kilometers from Elgin to Canton.
Find the bearing of the flight from Elgin to Canton given that Canton is due North of Naples.
:
Draw this triangle with Canton (C) due north of Naples, with interior angle at Naples to Elgin (E) is 44 degrees. Label the side Naples to Elgin 500 and Elgin to Canton 720.
:
Use the law of sines 500%2Fsin%28C%29 = 720%2Fsin%2844%29
Cross multiply
720*sin(C) = 500 * sin(44)
sin(c) = 347.33%2F720
sin(C) = .4824
C = 28.84 degrees
Draw a north south line thru Elgin
Using the law of parallel lines, N 28.84 E is the bearing from Elgin to Canton