A ship has to reach a palce which is due est form its present position . Declination at this point is `15^(@)`. The direction form compass needle in which it should sail is .

Options

A. `75^(@)`
B. `15^(@)`
C. `105^(@)`
D. `165^(@)`

Explanation

To solve the problem, we need to determine the direction in which the ship should sail to reach a location that is due east, considering the magnetic declination of 15 degrees.

### Step-by-Step Solution:

1. **Understanding Magnetic Declination**:
- Magnetic declination is the angle between magnetic north (the direction the compass points) and true north (geographic north). In this case, the declination is given as 15 degrees.

2. **Drawing the Directions**:
- Draw a diagram with the four cardinal directions: North (N), East (E), South (S), and West (W). Mark the true north and true east on the diagram.

3. **Identifying the Magnetic Meridian**:
- Since the declination is 15 degrees, the magnetic meridian (the direction the compass points) is shifted 15 degrees from the true north. This means that when you are facing true north, the compass will point 15 degrees west of true north.

4. **Calculating the Required Heading**:
- To sail due east, we need to adjust for the magnetic declination. The angle from the magnetic north to the east direction is 90 degrees.
- Since the magnetic north is at 15 degrees west of true north, we need to calculate the angle from the magnetic north to the east direction:
\[ \text{Angle from magnetic north to east} = 90^\circ - \text{declination} \]
\[ = 90^\circ - 15^\circ = 75^\circ \]

5. **Conclusion**:
- Therefore, the direction from the compass needle in which the ship should sail to reach the place due east is 75 degrees.

### Final Answer:
The direction from the compass needle in which the ship should sail is **75 degrees**.

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