I am facing south. I turn right and walk . Then I turn right again and walk . Then I turn left and walk and then turning right walk . Then I turn right again and walk . In which direction am I from the starting point?
- ANorth
- BNorth-West
- CEast
- DNorth-East
Solution & Step-by-step Explanation
Let us trace the path step-by-step starting from the origin :
1. Initial Facing: South.
2. **Turn right and walk **: Turning right from South means facing West.
* Move West New Position: . Current facing: West.
3. **Turn right again and walk **: Turning right from West means facing North.
* Move North New Position: . Current facing: North.
4. **Turn left and walk **: Turning left from North means facing West.
* Move West New Position: . Current facing: West.
5. **Turn right and walk **: Turning right from West means facing North.
* Move North New Position: . Current facing: North.
6. **Turn right again and walk **: Turning right from North means facing East.
* Move East New Position: .
At the end of the journey, the coordinates relative to the starting point are .
Since both the X-coordinate (East) and Y-coordinate (North) are positive, the final position lies in the North-East direction relative to the starting point.
1. Initial Facing: South.
2. **Turn right and walk **: Turning right from South means facing West.
* Move West New Position: . Current facing: West.
3. **Turn right again and walk **: Turning right from West means facing North.
* Move North New Position: . Current facing: North.
4. **Turn left and walk **: Turning left from North means facing West.
* Move West New Position: . Current facing: West.
5. **Turn right and walk **: Turning right from West means facing North.
* Move North New Position: . Current facing: North.
6. **Turn right again and walk **: Turning right from North means facing East.
* Move East New Position: .
At the end of the journey, the coordinates relative to the starting point are .
Since both the X-coordinate (East) and Y-coordinate (North) are positive, the final position lies in the North-East direction relative to the starting point.