Sanjeev walks towards the south. Turning to left, he walks and then moved to right. After moving a distance of , he turns to the right and walks another . Finally, he again turns to the right and moves a distance of . How far and in which direction is he from the starting point?
- A, North
- B, South
- C, North
- D, South
Solution & Step-by-step Explanation
Let's track Sanjeev's coordinate position assuming he starts at :
1. **Walks south:** position changes to .
2. **Turns left (facing East) and walks :** position changes to .
3. **Turns right (facing South) and walks :** position changes to .
4. **Turns right (facing West) and walks :** position changes to .
5. **Finally, turns right (facing North) and walks :** position changes to .
The final coordinate position is .
* Distance from origin .
* Direction relative to origin is down along the y-axis, which corresponds to South.
1. **Walks south:** position changes to .
2. **Turns left (facing East) and walks :** position changes to .
3. **Turns right (facing South) and walks :** position changes to .
4. **Turns right (facing West) and walks :** position changes to .
5. **Finally, turns right (facing North) and walks :** position changes to .
The final coordinate position is .
* Distance from origin .
* Direction relative to origin is down along the y-axis, which corresponds to South.