Thread: Pre Calculus Trignometry Question

Can anyone solve this question, I tried it but am not getting the correct answer. Use law of sines and cosines.

Jack has hijacked a yacht and has decided to do some more piracy. He leaves his home base at a bearing of 312º, and sails at a rate of 62.3 mph. After 5.32 hours he stops to make a raid. He makes his escape by sailing at a bearing of N20.4ºE at 71.4 mph. After another 3.18 hour of sailing, he stops to make another raid. He makes his second escape by sailing 82.7 mph at a bearing of 111º. After 2.6 hours he stops to make yet another raid. Jack then decides that it is time to return to his home base and count his money.

1. Determine the bearing that Jack must travel to sail directly to home base.
2. Determine the distance that Jack must travel to make it to home base.

Well, what did you try? It looks to me like you will have to divide this path into two triangles. What lengths and angles did you get for the triangles?

Thank you for showing interest, but someone already helped me out. Thanks again