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The quadrantal bearing of a line AB is N18° 20' W. What will the bearing of line AB into whole circle bearing system?
- a)198° 20'
- b)18° 20'
- c)108° 20'
- d)341° 40'
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The quadrantal bearing of a line AB is N18° 20 W. What will the be...
Concept:
Whole circle Bearing system:
Whole circle Bearing system:
- In this system, the bearing of the line is measured from the north in clockwise direction.
- Thus whole circle bearing system (WCB) of a line is the horizontal angle which the line makes with the north end of the reference meridian.
- The WCB of a line can vary from 0° to 360°.
Quadrantal Bearing system:
- The quadrantal bearing (QB) of a line is the acuate angle which the line makes with the meridian.
- Quadrantal bearing is measured either from north end or south end as the case may be i.e. whichever is nearer to the line. The quadrantal bearing of a line can vary from 0° to 90°
Conversion table for WCB and QB:
Calculation:
Given,
Reduced Bearing = N18° 20' W
∵ Reduced bearing exists in the IVth coordinate, so WCB of line
WCB = 360 ° - 18° 20' = 341° 40'
Given,
Reduced Bearing = N18° 20' W
∵ Reduced bearing exists in the IVth coordinate, so WCB of line
WCB = 360 ° - 18° 20' = 341° 40'
Most Upvoted Answer
The quadrantal bearing of a line AB is N18° 20 W. What will the be...
Understanding Quadrantal Bearing
Quadrantal bearing describes the direction of a line in relation to the cardinal points (North, South, East, West). In this case, the bearing of line AB is given as N18°20'W.
Breaking Down the Bearing
- N18°20'W means:
- Start from North (0°).
- Move 18°20' towards the West.
Calculating Whole Circle Bearing
To convert the quadrantal bearing to a whole circle bearing:
- Start at 0° (North).
- Move counterclockwise to 360°.
Steps for Conversion:
1. Identify the Reference Direction:
- The reference direction is North (0°).
2. Calculate the Angle:
- Move 18°20' towards the West from North.
- This is equivalent to subtracting the angle from 360°.
3. Perform the Calculation:
- Whole circle bearing = 360° - 18°20'
- Convert 18°20' into decimal if needed: 20' = 20/60 = 0.3333°
- So, 18°20' = 18.3333°.
- Therefore, 360° - 18.3333° = 341.6667°.
4. Final Result:
- Rounding gives us 341°40' as the whole circle bearing.
Conclusion
Thus, the whole circle bearing of line AB is 341°40', which corresponds to option 'D'.
Quadrantal bearing describes the direction of a line in relation to the cardinal points (North, South, East, West). In this case, the bearing of line AB is given as N18°20'W.
Breaking Down the Bearing
- N18°20'W means:
- Start from North (0°).
- Move 18°20' towards the West.
Calculating Whole Circle Bearing
To convert the quadrantal bearing to a whole circle bearing:
- Start at 0° (North).
- Move counterclockwise to 360°.
Steps for Conversion:
1. Identify the Reference Direction:
- The reference direction is North (0°).
2. Calculate the Angle:
- Move 18°20' towards the West from North.
- This is equivalent to subtracting the angle from 360°.
3. Perform the Calculation:
- Whole circle bearing = 360° - 18°20'
- Convert 18°20' into decimal if needed: 20' = 20/60 = 0.3333°
- So, 18°20' = 18.3333°.
- Therefore, 360° - 18.3333° = 341.6667°.
4. Final Result:
- Rounding gives us 341°40' as the whole circle bearing.
Conclusion
Thus, the whole circle bearing of line AB is 341°40', which corresponds to option 'D'.
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The quadrantal bearing of a line AB is N18° 20 W. What will the bearing of line AB into whole circle bearing system?a)198° 20b)18° 20c)108° 20d)341° 40Correct answer is option 'D'. Can you explain this answer?
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