Aship travels due west for 83 miles. it then travels in a northwest direction for 111 miles and ends up 165 miles from its original position. to the nearest tenth of a degree, how many degrees north of west did it turn when it changed direction? (show your work? 25 points? )

We first determine the angle between the 83 mi and the 111 mi sides. Let this angle be represented by x, and use the cosine law to solve this:
165^2 = 83^2 + 111^2 - 2(83)(111)cos(x)
cos(x) = 115.8 degrees
Therefore, the angle north of west that the ship turned would be 180 - 115.8 = 64.2 degrees.

The answer would be choice b

What are the options