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The magnetic base of bearings for a closed traverse survey is  S 760 30’ W and the magnetic declination at the site is 20 45’ E. Determine it's True North Azimuth in decimal degrees (enter only the numerical answer).

Question

The magnetic base of bearings for a closed traverse survey is  S 760 30’ W and the magnetic declination at the site is 20 45’ E. Determine it's True North Azimuth in decimal degrees (enter only the numerical answer).

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Solution

To solve this problem, we need to convert the given bearing to azimuth, and then adjust for the magnetic declination to find the true north azimuth.

  1. Convert the bearing to azimuth: The bearing is S 76° 30' W. In the south-west quadrant, the azimuth is calculated as 180° + (90° - bearing). So, the magnetic azimuth is 180° + (90° - 76.5°) = 193.5°.

  2. Adjust for magnetic declination: The magnetic declination is 20° 45' E, which means the magnetic north is 20.75° east of true north. To get the true north azimuth, we subtract the declination from the magnetic azimuth. So, the true north azimuth is 193.5° - 20.75° = 172.75°.

So, the True North Azimuth in decimal degrees is 172.75.

This problem has been solved

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Magnetic declination only varies with location.Group of answer choicesTrueFalse

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