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

Answer: Option D

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