Two groups of hikers leave the same camp heading in opposite directions. The first group travels 4 miles north and 3 miles east. The second group travels 2 miles south and 5 miles west.

a. Draw the situation in the coordinate plane using a right triangle. Use the origin as the camp location, and let each unit represent 1 mile. For example, the point (2, 1) would represent 2 miles east and 1 mile north of the camp.

b. Determine the distance between the two groups after the hikes.