SOLUTION: Two ships leave Honolulu Harbor at the same time. One travels at 15 knots (nautical miles per hour) bearing 150 degrees, and the other travels at 12 knots bearing 200 degrees. Ho

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Two ships leave Honolulu Harbor at the same time. One travels at 15 knots (nautical miles per hour) bearing 150 degrees, and the other travels at 12 knots bearing 200 degrees. Ho      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 375077: Two ships leave Honolulu Harbor at the same time. One travels at 15 knots (nautical miles per hour) bearing 150 degrees, and the other travels at 12 knots bearing 200 degrees. How far apart are the two ships after 10 hours?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
One side of the triangle is 150 nm (15*10), the 2nd is 120 nm (12*10).
The included angle is 50º (200 - 150)
Use Cosine Law
d%5E2+=+150%5E2+%2B+120%5E2+-+2%2A120%2A150%2Acos%2850%29
Solve for d (in nm, nautical miles)