The magnetic bearing and declination of a line were recorded in the year 1906 as S 43°30' E and 2° E respectively. If the declination in the year 2006 is 3° W, the magnetic bearing of the line is

Solution(By Examveda Team)

To find the magnetic bearing of the line in the year 2006, we need to account for the change in declination over the 100-year period.

In 1906, the magnetic bearing of the line was recorded as S 43°30' E, and the declination was 2° E.

In 2006, the declination is given as 3° W.

To find the magnetic bearing in 2006, we need to adjust the original bearing for the change in declination over 100 years.

Change in declination = 3° W - 2° E = 5°

Since the declination has increased (from east to west), we subtract the change in declination from the original bearing:

New magnetic bearing = S 43°30' E - 5° = S 38°30' E

The correct answer is:

D. S 38°30' E