The declination at a place is `15^@` west of north. In which direction should a ship be steered so that it reaches a place due east?

Explanation

To solve the problem of steering a ship to reach a place due east when the declination is 15 degrees west of north, we can follow these steps:

### Step 1: Understand the Declination
The declination is given as 15 degrees west of north. This means that the magnetic north (the direction indicated by a compass) is 15 degrees to the west of the true north (geographic north).

### Step 2: Visualize the Directions
- **True North (Geographic North)**: This is the direction towards the North Pole.
- **True East (Geographic East)**: This is 90 degrees clockwise from true north.
- **Magnetic North**: This is the direction indicated by the compass, which is 15 degrees west of true north.

### Step 3: Determine the Magnetic East
Since the magnetic north is 15 degrees west of true north, the magnetic east will also be affected by this declination. To find the magnetic east:
- Magnetic east is 90 degrees from magnetic north.
- Therefore, we need to add the declination to the true east direction.

### Step 4: Calculate the Angle
To find the angle at which the ship should be steered:
- True east is at 90 degrees.
- The angle for magnetic east will be:
\[ \text{Magnetic East} = \text{True East} + \text{Declination} \]
\[ \text{Magnetic East} = 90^\circ + 15^\circ = 105^\circ \]

### Step 5: Conclusion
The ship should be steered at an angle of 105 degrees from the magnetic north to reach the place due east.

### Final Answer
The ship should be steered at an angle of 105 degrees from magnetic north to reach a place due east.

---