Question
Download Solution PDFIf the whole circle bearing of a line is 325°40', then quadrantal bearing will be
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Whole Circle Bearing and Quadrantal Bearing
To convert a whole circle bearing (WCB) to a quadrantal bearing (QB), follow these steps:
-
Step 1: Identify the quadrant in which the angle lies:
- 0° to 90°: First quadrant → NE
- 90° to 180°: Second quadrant → SE
- 180° to 270°: Third quadrant → SW
- 270° to 360°: Fourth quadrant → NW
-
Step 2: Calculate the angle with respect to the North or South axis:
- For angles in the fourth quadrant (270° to 360°), subtract the bearing from 360°.
-
Step 3: Represent the angle as QB using the appropriate quadrant notation (N or S followed by the angle and then E or W).
Analyzing the Given WCB
The given whole circle bearing is 325°40'. Let us determine the quadrantal bearing:
-
Step 1: Identify the quadrant:
- 325°40' lies in the fourth quadrant (270° to 360°).
-
Step 2: Calculate the angle with respect to the North axis:
- Subtract 325°40' from 360°:
- 360° - 325°40' = 34°20'.
-
Step 3: Represent the angle as a quadrantal bearing:
- Since the angle lies in the fourth quadrant, the notation is N 34°20' W.
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