A ship is sailing due west according to Mariner's compass . If the declination at the place is `17^(@)` west , what should be direction of ship ?

Options

A. Making an angle of deg83 West of magnetic North
B. Making an angle of deg83 East of magnetic North
C. Making an angle of deg83 West of magnetic South
D. Making an angle of deg27 East of magnetic South

Answer

To determine the actual direction of the ship sailing due west when there is a declination of 17° west, we can follow these steps:

### Step 1: Understand the Concept of Declination
Declination refers to the angle between magnetic north (as indicated by a compass) and true north (geographical north). A declination of 17° west means that the magnetic north is 17° to the west of true north.

### Step 2: Identify the Direction Indicated by the Compass
The ship is sailing due west according to the Mariner's compass. This means that the compass is indicating a direction that is 90° from true north.

### Step 3: Adjust for the Declination
Since the declination is 17° west, we need to adjust the compass reading to find the true direction. To do this, we subtract the declination from the compass direction:

- Compass direction (due west) = 270° (measured from true north)
- Declination = 17° west

### Step 4: Calculate the True Direction
To find the true direction of the ship, we adjust the compass reading:

True direction = Compass direction - Declination
True direction = 270° - 17°
True direction = 253°

### Step 5: Determine the Cardinal Direction
Now, we need to convert the true direction of 253° back into cardinal directions.

- 253° lies between 240° (which is southwest) and 270° (which is west).
- Therefore, 253° is in the southwest direction but slightly more towards the west.

### Conclusion
The actual direction of the ship, considering the declination, is 17° towards the southwest from the due west direction.

### Final Answer
The direction of the ship should be 17° South-West.

---