Airplane Question

greatwhiteshark

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May 8, 2005
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An airplane flies from city A to city B, a distance of 150 miles and then turns through an angle of 40 degrees and heads toward city c.

a) If the distance between cities A and C is 300 miles, how far is it from city B to city C?

b) Through what angle should the pilot turn at city C to return to city A?

I found the answer to part a: 169 miles.

However, I found the part b answer to be 18.77 degrees but the textbook tells me that the answer to part b is 161.3 degrees. How can this be?
 
180<SUP>o</SUP>&#151;18.7<SUP>o</SUP>=161.3<SUP>o</SUP>!
If the plane turned around at city B, its turn would be 180<SUP>o</SUP>.
Now you explain the answer to yourself.
 
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