Question

An azimuth of a line is 116 degrees 14 minutes 8 seconds. What is its bearing?  Give your answer in decimal degrees to 6 decimal places. Give the direction at the end as two letters together.

Answer 1

To convert the azimuth into bearing we must first determine the quadrant in which the line lies. For this the given azimuth is converted completely into degrees as shown.

Then as the bearing is greater than 90 and less than 180 it lies in second quadrant. Now as bearing is denoted with respect to either south or north. The angle between the line and the South is found as 180-116.235556 = 63.764444°

Therefore the bearing of the line whose azimuth is 116° 14' 8" is S63.764444E