Hema's home is 4 km south of the market, and her college is 4 km west of her home. How far and in which direction is the market from the college?

Explanation

1. 01

   From the market, the college is 4 km south and 4 km west.

2. 02

   So from the college, the market is 4 km north and 4 km east: exactly north-east.

3. 03

   Distance $= \sqrt{4^2 + 4^2} = 4\sqrt{2}$ km.