224k views
0 votes
Mary and Jan are both at a gas station at Hill and Elm. From the station, Mary Drives 24 miles north and Jan drives 10 miles west. Find the distance between Mary and Jan.

User Rykener
by
8.2k points

1 Answer

7 votes
Look at the picture.

x is the distance between Mary and Jan.

Using the Pythagorean theorem:

x^2=10^2+24^2 \\ x^2=100+576 \\ x^2=676 \\ x=√(676) \\ x=26

The distance between Mary and Jan is 26 miles.
Mary and Jan are both at a gas station at Hill and Elm. From the station, Mary Drives-example-1
User JoMendez
by
7.8k points