which group is farthest from the camp?

Question

Two groups of bikers leave the same camp heading in different directions. Each group travels 6 miles, then changes direction and travels 2.4 miles. Group A starts due east and then turns 52° toward north. Group B starts due west and then turns 30° toward south. Which group is farther from camp?

Answer 1

Draw and label a diagram!

One could use Law of Cosines, or logic

Group B makes a larger angle change. It is farther from the camp.