Starting from a point, a person travels 3 km towards east and turns left and travels 4 km. Then again he turns to left by `45^(@)` and moves straight. Which direction is he facing now?
किसी स्थान से चलना शुरू कर एक आदमी 3 कि.मी पूर्व की ओर जाता है और बाएँ मुड़कर 4 किमी. जाता है। फिर वह बाएँ `45^(@)` मुड़कर सीधे चलता है। अब उसका मुँह किस दिशा की ओर है?

Options

A. North-East /उत्तर-पूर्व
B. North-West/उत्तर-पश्चिम
C. South-East/दक्षिण-पूर्व
D. South-West/दक्षिण-पश्चिम

Explanation

To solve the problem step by step, we can break down the movements of the person and determine the final direction they are facing.

### Step 1: Start Point
- The person starts at a point (let's call it Point O).

### Step 2: Move East
- From Point O, the person travels 3 km towards the east.
- Let's mark this new position as Point A.

### Step 3: Turn Left and Move
- From Point A, the person turns left. Since they were facing east, turning left means they are now facing north.
- The person then travels 4 km north.
- We can mark this new position as Point B.

### Step 4: Turn Left by 45 Degrees
- From Point B, the person turns left again. Since they were facing north, turning left means they are now facing west.
- However, the problem states that the person turns left by 45 degrees.
- This means they will not be facing directly west but will be facing in between north and west, which is northwest.

### Conclusion
- After all the movements, the person is facing **northwest**.