math

Two hikers started at the same location. One traveled 2 miles east and then 1 mile north. The other traveled 1 mile west and then 3 miles south. At the end of their hikes, how many miles apart are the two hikers?

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  1. consider the origin as their starting location, then the first one ends up at (2,1) and the second hiker at (-1,-3)

    so, using the distance formula between 2 points :
    D = √((2+1)^2 + (1+4)^2)
    = √(9+25)
    = √34 or appr 5.8 miles apart

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