The magnetic bearing of a line at a stationpoint is found to be 187 de...
**Magnetic Bearing and True Bearing**
To calculate the magnetic bearing and true bearing of a line, we need to consider the magnetic declination and local attraction.
**1. Magnetic Bearing Calculation:**
The magnetic bearing is the angle between the magnetic north and the line in question. It is calculated by adding the magnetic declination and the local attraction to the observed magnetic bearing.
Given data:
Observed magnetic bearing = 187°
Magnetic declination = 4° East
Local attraction = -2°
To calculate the magnetic bearing, we add the magnetic declination and local attraction to the observed magnetic bearing:
Magnetic bearing = Observed magnetic bearing + Magnetic declination + Local attraction
Magnetic bearing = 187° + 4° + (-2°)
Magnetic bearing = 189°
Therefore, the magnetic bearing of the line is 189°.
**2. True Bearing Calculation:**
The true bearing is the angle between the true north and the line in question. It is calculated by subtracting the magnetic declination from the magnetic bearing.
Given data:
Magnetic bearing = 189°
Magnetic declination = 4° East
To calculate the true bearing, we subtract the magnetic declination from the magnetic bearing:
True bearing = Magnetic bearing - Magnetic declination
True bearing = 189° - 4°
True bearing = 185°
Therefore, the true bearing of the line is 185°.
**Explanation:**
- Magnetic Bearing: The magnetic bearing is the angle between the magnetic north and the line. Since the magnetic declination is the angle between true north and magnetic north, it needs to be added to the observed magnetic bearing to obtain the magnetic bearing.
- True Bearing: The true bearing is the angle between the true north and the line. To obtain the true bearing, the magnetic declination needs to be subtracted from the magnetic bearing.
In this case, the observed magnetic bearing is 187°, the magnetic declination is 4° East, and the local attraction is -2°. By adding the magnetic declination and local attraction to the observed magnetic bearing, we find the magnetic bearing to be 189°. By subtracting the magnetic declination from the magnetic bearing, we find the true bearing to be 185°.
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