If declination at a place is known to be `15 ^(@)` E. And a compass needle points as shown, then geographic north is represented by direction numberd.

A. 1
B. 2
C. 3
D. 4

Options

A. 1
B. 2
C. 3
D. 4

Answer

To solve the question regarding the declination of a compass needle and its relation to geographic north, we can follow these steps:

### Step-by-Step Solution:

1. **Understand Declination**: Declination is the angle between magnetic north (the direction the compass needle points) and true north (geographic north). A declination of 15° East means that the magnetic north is 15° to the east of true north.

2. **Visualize the Compass**: Imagine a compass where the needle points towards magnetic north. Since the declination is 15° East, we know that if the compass needle points to a certain direction, true north will be 15° to the west of that direction.

3. **Identify the Compass Directions**: In the context of the question, we can visualize the compass as a clock face. If we assume that the 12 o'clock position represents true north, then we can determine where the compass needle points in relation to true north.

4. **Calculate the True North Direction**: If the compass needle points to a certain direction (let's say it points to 12 o'clock), we need to adjust for the declination. Since the declination is 15° East, we subtract this angle from the direction the compass needle points.

5. **Determine the Correct Option**: If the compass needle points to 12 o'clock, true north would be at 12 o'clock minus 15°, which is equivalent to 11:45 on the clock. In the options provided, we need to identify which direction corresponds to 11:45.

6. **Select the Correct Answer**: Based on the options given (1, 2, 3, 4), we find that direction number 2 corresponds to the position of 11:45 on the clock face.

### Conclusion:
The correct option is **B. 2**.

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