An airplane flies from Ft. Myers to Sarasota, a distance of 150 miles, and then turns thru an angle of 50 degrees, and flies to Orlando, a distance of 100 miles. How far is it from Fort Myers to Orlando?
Law of Cosines. c^2= a^2 + b^2-2ab cos gamma
The Attempt at a Solution
Using the law of cosines, I squared 150 and added 100 squared. I then subtracted 100 times 150 times cosine of 50 degrees. I then took the square root of c. I got an answer of 114 miles, which cannot be true, having driven in Florida, and also because the diagram shows the route as the hypotenuse. What am I doing wrong?