Question 945549: a driver takes the wrong road at an intersection and travels 4 mi north then 6 mi east and finally 10 mi to the southeast to reach the home of a friend. What is the displacement of the friends home from the intersection .
Answer by Fombitz(32388)   (Show Source):
You can put this solution on YOUR website! Let east be positive x, west negative x, north positive y and south negative y.
Start at (0,0).
4 miles north
(0,0)+(0,4)=(0,4)
6 miles east
(0,4)+(6,0)=(6,4)
10 miles southeast
(6,4)+(10cos(225),10sin(225))=(6,4)+(-7.07,-7.07)=(-1.07,-3.07)
So now use the distance formula,
 
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