Question

Ship A and Ship B leave from the same point in the ocean. Ship A travels 150 mi due west, turns 65° toward north, and then travels another 100 mi. Ship B travels 150 mi due east, turns 70° toward south, and then travels another 100 mi. Which ship is farther from the starting point? Explain.

Answer 1

When you sketch the diagrams for ship A and B, the first one has sides of 150 and 100 with a contained angle of 115°.
Ship B's diagram has two sides 150 and 100 with a contained angle of 110°

the side opposite the smaller angle would be the shorter side.
So without any calculations, we know that ship A is farther from the starting point.
Since that is all that was asked for, we are done

Answer 2

wait would Ship A be the smaller angle(65) so would Ship B be the bigger length.