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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asked Apr 20, 2016 224k views

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JoMendez · Answer 1 · 2016-04-23T19:20:09+0000

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

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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