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.

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Look at the picture.

x is the distance between Mary and Jan.

Using the Pythagorean theorem:
[tex]x^2=10^2+24^2 \\ x^2=100+576 \\ x^2=676 \\ x=\sqrt{676} \\ x=26[/tex]

The distance between Mary and Jan is 26 miles.
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