A delivery boy rides 3 km south, turns right and rides 4 km, then turns right again and rides 7 km. How far and in which direction is he from where he started?

Question

Accepted Answer

4√2 km North-West. Start (0,0): south 3 → (0,−3); right of south is west, 4 km → (−4,−3); right of west is north, 7 km → (−4,4). He is 4 km west and 4 km north, i.e. √(16 + 16) = 4√2 km to the North-West.

A delivery boy rides 3 km south, turns right and rides 4 km, then turns right again and rides 7 km. How far and in which direction is he from where he started?

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