SOLUTION: A man standing at point A walks 1 mile south, 3 miles east, 5 miles north, and 7 miles west to reach point B. The length of line segment AB is? Please explain with detail and w

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Question 977725: A man standing at point A walks 1 mile south, 3 miles east, 5 miles north, and 7 miles west to reach point B. The length of line segment AB is?
Please explain with detail and with a diagram. I have tried several times but I still have not been able to solve this problem.

Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
You can think of the movements as cartesian coordinate components.
North is up
South is down
East is rightward
West is leftward

x directions, +3-7=-4
y direction, -1+5=+4

Net movements was four units left, four units up. That is how to relatively locate point B from A. x and y form legs of a right triangle, and AB is the hypotenuse.
4%5E2%2B4%5E4=AB%5E2
AB=sqrt%2832%29
AB=sqrt%2816%2A2%29
highlight%28AB=4sqrt%282%29%29