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In quadrantal bearing system, back bearing of a line may be obtained from its forward bearing, by
- a)adding 180∘, if the given bearing is less than 1800
- b)subtracting 180∘, if the given bearing is more than 1800
- c)changing the cardinal points, i.e., substituting N for S and E for W and vice-versa
- d)none of these.
Correct answer is option 'C'. Can you explain this answer?
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In quadrantal bearing system, back bearing of a line may be obtained ...
In a quadrantal bearing system, the back bearing of a line may be obtained from its forward bearing by changing the cardinal points, i.e., substituting N for S and E for W and vice-versa.
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Hence, the correct option is (c).
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In quadrantal bearing system, back bearing of a line may be obtained ...
Quadrantal Bearing System
The quadrantal bearing system is a system of bearings that uses cardinal points as its reference. The four cardinal points are North (N), South (S), East (E), and West (W). Bearings are expressed in degrees, minutes, and seconds, with the reference direction being either N or S for bearings in the east or west quadrant, and either E or W for bearings in the north or south quadrant.
Back Bearing
The back bearing of a line is the bearing of the line in the opposite direction. It is obtained by adding or subtracting 180 degrees from the forward bearing depending on the quadrant in which the line lies.
Obtaining Back Bearing
To obtain the back bearing of a line using the quadrantal bearing system, we need to follow the steps below:
1. Change the cardinal points
If the forward bearing is in the east or west quadrant, we need to substitute N for S and E for W and vice versa. For example, if the forward bearing is N 45° E, we need to change it to S 45° W.
2. Add or subtract 180 degrees
If the forward bearing is in the east quadrant, we need to add 180 degrees to obtain the back bearing. If the forward bearing is in the west quadrant, we need to subtract 180 degrees to obtain the back bearing.
For example, if the forward bearing is N 45° E, we change it to S 45° W and then add 180 degrees to obtain the back bearing, which is S 45° W + 180° = N 135° W.
Conclusion
In conclusion, the back bearing of a line in the quadrantal bearing system is obtained by changing the cardinal points and adding or subtracting 180 degrees depending on the quadrant in which the line lies. It is important to master this concept in order to accurately determine the direction of a line.
The quadrantal bearing system is a system of bearings that uses cardinal points as its reference. The four cardinal points are North (N), South (S), East (E), and West (W). Bearings are expressed in degrees, minutes, and seconds, with the reference direction being either N or S for bearings in the east or west quadrant, and either E or W for bearings in the north or south quadrant.
Back Bearing
The back bearing of a line is the bearing of the line in the opposite direction. It is obtained by adding or subtracting 180 degrees from the forward bearing depending on the quadrant in which the line lies.
Obtaining Back Bearing
To obtain the back bearing of a line using the quadrantal bearing system, we need to follow the steps below:
1. Change the cardinal points
If the forward bearing is in the east or west quadrant, we need to substitute N for S and E for W and vice versa. For example, if the forward bearing is N 45° E, we need to change it to S 45° W.
2. Add or subtract 180 degrees
If the forward bearing is in the east quadrant, we need to add 180 degrees to obtain the back bearing. If the forward bearing is in the west quadrant, we need to subtract 180 degrees to obtain the back bearing.
For example, if the forward bearing is N 45° E, we change it to S 45° W and then add 180 degrees to obtain the back bearing, which is S 45° W + 180° = N 135° W.
Conclusion
In conclusion, the back bearing of a line in the quadrantal bearing system is obtained by changing the cardinal points and adding or subtracting 180 degrees depending on the quadrant in which the line lies. It is important to master this concept in order to accurately determine the direction of a line.
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In quadrantal bearing system, back bearing of a line may be obtained from its forward bearing, bya)adding 180∘, if the given bearing is less than 1800b)subtracting 180∘, if the given bearing is more than 1800c)changing the cardinal points, i.e., substituting N for S and E for W and vice-versad)none of these.Correct answer is option 'C'. Can you explain this answer?
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