SOLUTION: A man travels 1 mile east , then 5 miles south and then 2 miles east and finally 9 miles north , how far is he from the starting point ?

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Question 761619: A man travels 1 mile east , then 5 miles south and then 2 miles east and finally 9 miles north , how far is he from the starting point ?

Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
This problem can be solved by adding the vectors together and then drawing a right triangle.
1 miles East + 2 miles East = 3 miles East
Since the North distance is larger, we will call North positive.
9 miles North - 5 miles South = 4 miles North.

Now you can use the Pythagorean theorem to find C:
C%5E2=A%5E2%2BB%5E2
C%5E2=3%5E2%2B4%5E2
C%5E2=9%2B16
C%5E2=25
sqrt%28C%29=sqrt%2825%29
highlight%28C=5%29
He is now 5 miles from the starting point.