Ruthvilk walked North. Then he turned right and walked . After that, he turned right again and walked . Next, he turned left and walked . In which direction is he now with respect to his starting point?
- ASouth-East
- BSouth-West
- CNorth-West
- DNorth-East
Solution & Step-by-step Explanation
Let's trace Ruthvilk's path on a Cartesian coordinate system starting at the origin :
1. **Walks North:**
New position =
2. **Turns right (East) and walks :**
New position =
3. **Turns right (South) and walks :**
New position =
4. **Turns left (facing South, a left turn points East) and walks :**
Final position =
Now, compare the final position with the starting point :
* The x-coordinate () is positive, which means it is towards the East.
* The y-coordinate () is negative, which means it is towards the South.
Therefore, he is in the South-East direction relative to his starting point.
1. **Walks North:**
New position =
2. **Turns right (East) and walks :**
New position =
3. **Turns right (South) and walks :**
New position =
4. **Turns left (facing South, a left turn points East) and walks :**
Final position =
Now, compare the final position with the starting point :
* The x-coordinate () is positive, which means it is towards the East.
* The y-coordinate () is negative, which means it is towards the South.
Therefore, he is in the South-East direction relative to his starting point.