From his house, Ankit went 20 km to the North. Then he turned West and covered 15 km. Then he turned South and covered 10 km. Finally, turning to his East, he covered 15 km. In which direction is he from his house?
Correct: A
Let Ankit's house be the origin (0,0).
1. Went 20 km North: Position becomes (0, 20).
2. Turned West and covered 15 km: Position becomes (0-15, 20) = (-15, 20).
3. Turned South and covered 10 km: Position becomes (-15, 20-10) = (-15, 10).
4. Turned East and covered 15 km: Position becomes (-15+15, 10) = (0, 10).
The final position is (0, 10) relative to his house (0,0).
This means he is 10 km to the North of his house.
Therefore, he is in the North direction from his house.