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prealgebra intermediate

Problem

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?
Solution
In total, the traveler went 12 miles north and 5 miles west. This forms a 5-12-13 Pythagorean triple, so the traveler is miles away from the starting point.
Final answer
13