A person walks 10 m North, then turns right and walks 5 m, then turns right again and walks 10 m. What direction is he facing now?
Show Hint
To solve direction problems, track each turn and direction step-by-step. Turning right from North leads to East; turning right from East leads to South.
Understanding Directions and Turns
To solve this problem, we need to carefully track both the movement and the facing direction after each turn. Remember that:
A right turn changes your facing direction 90° clockwise
The cardinal directions follow this sequence: North → East → South → West → North...
Step-by-Step Movement Analysis
Initial Position
Starting point: Arbitrary origin (0,0)
Initial facing direction: North
First Movement: 10 m North
Action: Walks straight 10 meters North
Result: Moves from (0,0) to (0,10)
Facing direction remains: North
First Right Turn
Current facing direction before turn: North
Turning right from North: North → East
New facing direction: East
Second Movement: 5 m East
Action: Walks 5 meters in the current facing direction (East)
Result: Moves from (0,10) to (5,10)
Facing direction remains: East
Second Right Turn
Current facing direction before turn: East
Turning right from East: East → South
New facing direction: South
Third Movement: 10 m South
Action: Walks 10 meters in the current facing direction (South)
Result: Moves from (5,10) to (5,0)
Facing direction remains: South
Final Orientation
Final position: (5,0) relative to starting point
Final facing direction: South
Verification
Let's verify the direction sequence:
Start facing North
After first right turn: East
After second right turn: South
This confirms our step-by-step analysis is correct.
Conclusion:
After carefully tracking each movement and turn, we determine that the person is facing:
\[
\boxed{\text{South}}
\]