Lalremsiami walks 9 km south from a school gate, turns right and walks 6 km, then turns right again and walks 3 km. How far and in which direction is she from the school gate?

Explanation

1. 01

   Right from south is west; right from west is north.

2. 02

   North–south: 9 km south, then 3 km north, leaving 6 km south.

3. 03

   East–west: 6 km west.

4. 04

   6 km south and 6 km west are equal, so she is exactly south-west, at $6\sqrt{2}$ km.