Question

A racer runs 5 miles north, 2 miles west, 3 miles north and 4 miles west. How far is he from the starting line? Would it be 14 miles??

Answer 1

no, the racer ran 14 miles, but his final location is 8N and 6W

So, recognize this as two legs of a 3-4-5 right triangle, scaled up by a factor of 2. That makes it a 6-8-10 triangle. He is 10 miles from where he started.