Question

The bearing of a survey line is N31°17′W. Its azimuth observed from north is \(\underline{\hspace{2cm}}\) degrees. (round off to two decimal places)

Hint:

To convert bearing to azimuth, add the bearing angle to 360° if the direction is westward.

Answer 1

Correct Answer: 328.6

The azimuth is measured clockwise from the north direction. The bearing N31°17′W means that the angle from the north to the line is 31°17′ westward. To convert this bearing to azimuth, we add 31°17′ to 360°:
\[ \text{Azimuth} = 360^\circ - 31^\circ 17′ = 328^\circ 43′. \] Converting to decimal form:
\[ 328^\circ 43′ = 328.72^\circ. \] Thus, the azimuth is \( 328.72^\circ \).