A jogger jogs 5 miles due north and then turns due east. If he ends up approximately 12 miles from where he started, how far each did he travel?

Answer 1

To find out how far the jogger traveled, we can treat his movements as the legs of a right triangle.

From the information given, the jogger traveled 5 miles due north and 12 miles due east, forming the sides of the right triangle. The distance he traveled is the hypotenuse of the right triangle.

Using the Pythagorean theorem, we have:

(5)^2 + (12)^2 = c^2
25 + 144 = c^2
169 = c^2
c = √169
c = 13

Therefore, the jogger traveled 5 miles north, 12 miles east, and the total distance he traveled is approximately 13 miles.