GATE CE 2018 Set 1 — Question 45
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Geomatics Engineering → Traversing & Triangulation → Closed Traverse
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Question
The following details refer to a closed traverse:
The length and direction (whole circle bearing) of closure, respectively are
| Line | Northing (m) | Southing (m) | Easting (m) | Westing (m) |
|---|---|---|---|---|
| PQ | ---- | 437 | 173 | ---- |
| QR | 101 | ---- | 558 | ---- |
| RS | 419 | ---- | ---- | 96 |
| SP | ---- | 83 | ---- | 634 |
- A.1 m and
- B.2 m and
- C.1 m and
- D.2 m and
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Correct answer
(A;C)
Solution
1.Calculate the sum of Northings and Southings (Latitude):
Error in Latitude () = .
2.Calculate the sum of Eastings and Westings (Departure):
Error in Departure () = .
3.Length of closure:
Length = .4.Direction of closure:
The error vector is , which points due East (). The term 'closure' can refer to the error itself (1 m at ) or the line required to close the traverse (1 m at ).
Due to this ambiguity, both options (A) and (C) are considered correct.
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