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 point that is due east of its current position, taking into account the magnetic declination of 15 degrees.

### Step-by-Step Solution:

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

2. **Visualizing Directions**:
- Draw a diagram with the cardinal directions: North (N), East (E), South (S), and West (W).
- Mark the true east direction (the direction the ship needs to go) on the diagram.

3. **Identifying the Magnetic Meridian**:
- Since the declination is 15 degrees, this means that the magnetic north is either to the east or west of true north. In this case, we assume the declination is positive, indicating that magnetic north is to the west of true north.
- Therefore, the magnetic meridian is 15 degrees west of true north.

4. **Calculating the Sailing Direction**:
- To sail due east, the ship must adjust its course to account for the declination.
- The angle between the magnetic meridian and true east can be calculated as follows:
- Since the magnetic meridian is 15 degrees west of true north, the angle from the magnetic meridian to true east is:
\[ 90^\circ - 15^\circ = 75^\circ \]
- This means the ship should head at an angle of 75 degrees relative to the magnetic meridian.

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

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

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