GATE CE 2021 Set 2 — Question 44
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Geomatics Engineering → Traversing & Triangulation → Closed Traverse
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Question
For a given traverse, latitudes and departures are calculated and it is found that sum of latitudes is equal to m and the sum of departures is equal to m. The length and bearing of the closing error, respectively, are
Correct answer
(A) 3.50 m and 53⁷' 48'' NW
Solution
1.The length of the closing error () is given by the square root of the sum of the squares of the sum of latitudes () and the sum of departures ():
2.The reduced bearing angle () is calculated as:
3.Converting to degrees, minutes, and seconds:
4.Since the sum of latitudes is positive (North) and the sum of departures is negative (West), the bearing lies in the North-West (NW) quadrant.
Thus, the length is m and the bearing is NW.Continue learning with Success Tracker
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