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If the whole circle bearing of a line is zero degrees, then the reduced bearing of the line is in the ______ direction.
east
west
south
north
north
In the Whole Circle Bearing (WCB) system, angles are measured clockwise from the North direction, which acts as the reference meridian. A WCB of 0┬░ coincides exactly with the Geographic or Magnetic North, meaning the line points directly towards the North pole.
In the Whole Circle Bearing (WCB) system, angles are measured clockwise from the North direction, which acts as the reference meridian. A WCB of 0┬░ coincides exactly with the Geographic or Magnetic North, meaning the line points directly towards the North pole.
QB=WCB for 0┬░тЙдWCBтЙд90┬░ (North-East quadrant)
QB=180┬░тИТWCB for 90┬░<WCBтЙд180┬░ (South-East quadrant)
QB=WCBтИТ180┬░ for 180┬░<WCBтЙд270┬░ (South-West quadrant)
QB=360┬░тИТWCB for 270┬░<WCB<360┬░ (North-West quadrant)
The WCB system measures bearings from 0┬░ to 360┬░. By definition, 0┬░ and 360┬░ represent the North cardinal point. In the Quadrantal Bearing (QB) or Reduced Bearing (RB) system, bearings are measured from either the North or South meridian toward the East or West, making the 0┬░ WCB equivalent to North 0┬░ East (or North 0┬░ West).
WCB ranges from 0┬░ to 360┬░ measured clockwise.
North is represented by 0┬░ or 360┬░.
Reduced Bearing (RB) is always between 0┬░ and 90┬░.
At 0┬░ WCB, the line lies exactly on the North meridian.
WCB is easy to use for plotting and calculations in closed traverses.
RB provides a clear sense of direction by identifying the specific quadrant.
WCB can lead to large numerical errors if converted incorrectly.
RB requires additional notation (N/S and E/W) to be fully defined.
Compass surveying
Traverse calculation
Topographic mapping
A WCB of 90┬░ corresponds to East, 180┬░ to South, and 270┬░ to West.
Option A, B, and C are incorrect because the line does not deviate towards the East, West, or South when the angle is 0┬░.
D is correct тАФ A whole circle bearing of 0┬░ corresponds exactly to the North direction.
Always remember the cardinal directions in WCB: North is 0┬░/360┬░, East is 90┬░, South is 180┬░, and West is 270┬░.
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