एक व्यक्ति पश्चिम दिशा की ओर मूँह करके खड़ा है | वह दक्षिणावर्त दिशा में `45^@` के कोण पर घूमता है फिर वह पुनः उसी दिशा में `180^@` के कोण पर घूमता है और फिर वह वामावर्त दिशा में `270^@` के कोण पर घूमता है | अब वह किस दिशा की ओर खड़ा है ?

Options

A. दक्षिण
B. उत्तर -पश्चिम
C. पश्चिम
D. दक्षिण -पश्चिम

Answer

To solve the problem step by step, we need to track the direction of the person as he rotates.

1. **Initial Position**: The person is initially facing West.

2. **First Rotation (South-East)**:
- The person turns 45 degrees in the South-East direction (South-East is 45 degrees clockwise from West).
- From West, turning 45 degrees clockwise leads him to face South-West.

3. **Second Rotation (South-East)**:
- Next, he turns 180 degrees in the same direction (South-East).
- From South-West, turning 180 degrees will make him face North-East.

4. **Third Rotation (Counter-Clockwise)**:
- Finally, he turns 270 degrees in the counter-clockwise direction.
- From North-East, turning 270 degrees counter-clockwise means he will turn through North, West, and then South.
- Therefore, he ends up facing South.

**Final Direction**: The person is now facing South.