A boy walks 3 km north, turns east and walks 4 km, then turns south and walks 6 km. How far and in which direction is he from the start?

Question

Accepted Answer

5 km, south-east. Net vertical movement is 3 - 6 = 3 km south and net horizontal is 4 km east, so he is the square root of (9 + 16) = 5 km to the south-east.

A boy walks 3 km north, turns east and walks 4 km, then turns south and walks 6 km. How far and in which direction is he from the start?

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