Two tugs are towing a ship. The smaller tug is 10° off the port bow and the larger tug is 20° off the starboard bow. The larger tug pulls twice as hard as the smaller tug. In what direction will the ship move?

PLEASE USE COSINE LAW ONLY!!!!!

1 answer

If we set the forward direction as the +x axis, then we can consider our two vectors as complex numbers, so the resultant is
2cis(-20°) + cis10° = 2.909 cis -10.1°
so, 10.1° to starboard