SOLUTION: A man starts from point A to get to point B. The road makes the man travel 3 kilometres due north first, then 8 kilometres miles due east and further 3 kilometres due north to reac

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Question 1069749: A man starts from point A to get to point B. The road makes the man travel 3 kilometres due north first, then 8 kilometres miles due east and further 3 kilometres due north to reach point B. If the man could have gone “as the crow flies”, how much less of a distance would he have to travel?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let east be positive x, north positive y.
Starting at (0,0).
(0,0)+(0,3)=(0,3)
(0,3)+(8,0)=(8,3)
(8,3)+(0,3)=(8,6)
So he traveled a total of 3%2B8%2B3=14km
Use the distance formula,
D%5E2=%288-0%29%5E2%2B%286-0%29%5E2
D%5E2=64%2B36
D%5E2=100
D=10km
So he could save 4 km.