Prakash starts from his office and walks 10 km towards the South. Then he turns right and walks 5 km. Then he turns right and walks 8 km. Then he turns left and walks 10 km. In which direction is he from his office?
Correct: B
Let Prakash's office be the origin (0,0).
1. Walks 10 km South: Position becomes (0, -10).
2. Turns right (West) and walks 5 km: Position becomes (0-5, -10) = (-5, -10).
3. Turns right (North) and walks 8 km: Position becomes (-5, -10+8) = (-5, -2).
4. Turns left (West) and walks 10 km: Position becomes (-5-10, -2) = (-15, -2).
The final position is (-15, -2) relative to his office (0,0).
Since the x-coordinate is negative (-15), he is to the West of his office.
Since the y-coordinate is negative (-2), he is to the South of his office.
Therefore, he is in the South-West direction from his office.