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The magnetic bearing of a boundary line was recorded as  N 330 15’ W and the magnetic declination at the time was 30 45’ W. Determine the True Azimuth direction of the boundary line in decimal degrees (enter only the numerical answer)

Question

The magnetic bearing of a boundary line was recorded as  N 330 15’ W and the magnetic declination at the time was 30 45’ W. Determine the True Azimuth direction of the boundary line in decimal degrees (enter only the numerical answer)

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Solution

To solve this problem, we need to convert the magnetic bearing to true bearing by adding the magnetic declination.

  1. Convert the magnetic bearing (N 330°15’ W) to decimal degrees.

    Degrees are already in decimal form, so we just need to convert the minutes. There are 60 minutes in a degree, so we divide the minutes by 60.

    330° + (15’ ÷ 60) = 330.25°

  2. Convert the magnetic declination (30°45’ W) to decimal degrees.

    30° + (45’ ÷ 60) = 30.75°

  3. Add the magnetic bearing to the magnetic declination to get the true bearing.

    330.25° + 30.75° = 361°

However, a bearing can only be between 0° and 360°. If the result is greater than 360°, we subtract 360°.

361° - 360° = 1°

So, the True Azimuth direction of the boundary line is 1°.

This problem has been solved

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