Question

A jogger goes 0.4 mi east and then turns north. If the jogger finishes 0.5 mi from the starting​ point, how far north did the jogger​ go?

Answer 1

In order to solve this problem, you must draw a right triangle first to help you visualize the path of the jogger.

You are given 0.5 miles north (which will be the height of the right triangle), and 1.3 miles (which will be the hypotenuse of the triangle).

Using Pythagorean Theorem: a²+b²=c², we have:

0.5² + b² = 1.3²

b = 1.3²-0.5²

b = 1.2 miles