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
A. 4 miles
B. √8 miles
C. 2 miles
D. √32miles
E. √12 miles

√32

Step-by-step explanation: so the displacement is north 4 and west 4 and it becomes a right triangle so the hypotenuse is the distance for segment AB

So Drawn out should like straight lines up,down,left,and right. So east is positive while west is negative same for North(+) and South(-)

I recommend sticking with 2 directions first. Starting with north and south right. First you go south 1 mile but then you go north 5miles in math terms

-1+5=4 or down one is one less than 5

Same for east and west. 3+-7 = -4

So we went positive 4 miles up and 4miles to the left

So (-4)^2+4^2= hypotenuse or AB segment in this case

details

step-by-step explanation: