Question
Download Solution PDFMatch the angles under List 1 (whole circle bearings) with their corresponding values under List 2 (quadrantal bearings).
|
LIST 1 |
LIST 2 |
||
|
P. |
144° 30' |
1. |
S 54° 30' E |
|
Q. |
215° 30′ |
2. |
N 35° 30' W |
|
R. |
125° 30' |
3. |
S 35° 30' W |
|
S. |
324° 30' |
4. |
S 35° 30' E |
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Whole circle bearing (WCB): WCB is always measured from the North side and clockwise direction. The WCB of a line can vary from 0° to 360° degree.
Quadrantal bearings (QB): QB is always measured from the closer end of either North or South. The direction can be clockwise or anticlockwise. The QB of a line can vary from 0° to 90° degrees.
|
Quadrant |
WCB |
QB |
|
I |
θ = 0° to 90° |
N θ E |
|
II |
θ = 90° to 180° |
S (180°- θ) E |
|
III |
θ = 180° to 270° |
S (θ - 180°) W |
|
IV |
θ = 270° to 360° |
N (360°- θ) W |
Calculation:
- WCB: θ =144° 30' QB: S (180°-144° 30') E = S 35°30' E
- WCB: θ =215° 30′ QB: S (215° 30′-180°) W = S 35°30' W
- WCB: θ =125° 30' QB: S (180°-125°30′) E = S 54°30' E
- WCB: θ =324° 30' QB: N (360°-324°30′) W = N 35°30' W
Last updated on May 28, 2025
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