The magnetic declination at a certain place is 12°06'W. What is the magnetic bearing there:

a of true north?

b. of true south

c. of true west?

Magnetic declination is the angle between true north (geographic north) and magnetic north. If the magnetic declination at a certain place is 12°06'W (west), it means that magnetic north is to the west of true north by 12°06'.

Let's calculate the magnetic bearings for each direction:

### a. Magnetic bearing of true north:
- True north corresponds to 0° on a compass.
- The magnetic declination is 12°06'W, meaning magnetic north is 12°06' west of true north.
- To find the magnetic bearing of true north, we subtract the declination from 0°.

\[
\text{Magnetic bearing of true north} = 0° - 12°06' = 360° - 12°06' = 347°54'
\]

So, the magnetic bearing of true north is **347°54'**.

### b. Magnetic bearing of true south:
- True south is 180° on a compass.
- The magnetic declination is 12°06'W, meaning magnetic north is west of true north.
- Since we are moving from south (180°) in the same way as with north, we subtract the declination from 180°.

\[
\text{Magnetic bearing of true south} = 180° - 12°06' = 167°54'
\]

So, the magnetic bearing of true south is **167°54'**.

### c. Magnetic bearing of true west:
- True west corresponds to 270° on a compass.
- The magnetic declination is 12°06'W, meaning magnetic north is west of true north.
- Since west is already aligned with the direction of declination, we simply add the declination to 270°.

\[
\text{Magnetic bearing of true west} = 270° + 12°06' = 282°06'
\]

So, the magnetic bearing of true west is **282°06'**.

### Summary:
- **Magnetic bearing of true north**: 347°54'
- **Magnetic bearing of true south**: 167°54'
- **Magnetic bearing of true west**: 282°06'

Would you like further details or have any questions?

Here are 5 related questions:
1. How does magnetic declination affect navigation using a compass?
2. What is the difference between magnetic north and true north?
3. How do you correct for magnetic declination when using a compass?
4. How does magnetic declination vary over time?
5. Can magnetic declination ever be zero?

**Tip:** Always check the local magnetic declination for accurate navigation, as it varies by location and changes over time.

The magnetic declination at a certain place is 12°06'W. What is the magnetic bearing there: a. of true north? b. of true south? c. of true west?

Learn how to calculate the magnetic bearings of true north, true south, and true west given a magnetic declination of 12°06'W. This detailed solution covers key trigonometric and navigation concepts, suitable for students in Grades 10-12.

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