While walking on a plane surface, a traveler first headed 18 miles north, then 11 miles west, then 6 miles south and finally 6 miles east. How many miles from the starting point was the traveler after these four legs of the journey?
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Hope this helped!
18-6=12
11-6=5
Then, we use the Pythagorean Theorem.
sqrt(12^2+5^2)
=sqrt(144+25)
=sqrt(169)
=13.
Hope this helped!
Here's one way of doing this
Let the starting point = (0,0)
So 18 mi north puts us at (0,18)
11 miles west of here puts us at (-11,18)
6 miles south puts us at ( -11, 12)
6 miles east puts us at (-5 , 12)
These are two legs of a 5, 12, 13 right triangle
So...we are 13 miles from our starting point