In the quadrantal bearing system, a whole circle bearing of 2930 30' c...
Whole circle bearing = 293 degree 30'
Q.C.B = 360 degree - 293 degree 30' = 66 degree 30'
Q.C.B = N 66 degree 30' W
In the quadrantal bearing system, a whole circle bearing of 2930 30' c...
Quadrantal Bearing System:
The quadrantal bearing system is one of the three types of bearing systems used in land navigation. It is based on the idea of dividing the circle into four quadrants, and expressing bearings in terms of the compass direction in which they lie.
Each quadrant is named for the cardinal direction that it contains, with the first letter capitalized. For example, the northeast quadrant is called the NE quadrant.
The bearings in this system are expressed as the angle between the reference direction (north or south) and the line of sight to the point of interest. The reference direction is indicated by the first letter of the bearing, which is either N or S.
Solution:
The given whole circle bearing of 2930 30' can be expressed as a quadrantal bearing as follows:
- The bearing lies in the northwest quadrant, which is indicated by the letter N.
- The angle between the reference direction (north) and the line of sight to the point of interest is 2930 30'.
- Therefore, the quadrantal bearing is N 2930 30' W.
However, this is not one of the options given in the question. To express this bearing as one of the given options, we need to subtract it from 3600 and express the result in the opposite quadrant.
- 3600 - 2930 30' = 6630 30'
- The opposite quadrant to the northwest quadrant is the southeast quadrant, which is indicated by the letter S.
- Therefore, the quadrantal bearing can be expressed as S 6630 30' N.
This is equivalent to option B: S 1130 30' N.
Therefore, the correct answer is option B: S 1130 30' N.