GATE CE 2021 Set 1 — Question 65
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Geomatics Engineering → Maps & Coordinate Systems → Bearings & Azimuths
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Question
Traversing is carried out for a closed traverse PQRS. The internal angles at vertices P, Q, R and S are measured as , , , and , respectively. If fore bearing of line PQ is , fore bearing of line RS (in degrees, in integer) is _______.
Correct answer
196 to 196
Solution
The sum of internal angles for a closed traverse with sides is given by . For a quadrilateral (), the sum is .
Given internal angles: .
Sum . This confirms the traverse is closed.We calculate the Fore Bearing (FB) of line RS based on the given FB of PQ . Case 1: Clockwise Traverse (P-Q-R-S)
In an anti-clockwise traverse, the internal angles are added to the back bearing of the previous line.
Given internal angles: .
Sum . This confirms the traverse is closed.We calculate the Fore Bearing (FB) of line RS based on the given FB of PQ . Case 1: Clockwise Traverse (P-Q-R-S)
1.FB of
2.Back Bearing (BB) of
3.FB of
4.BB of
5.FB of
Case 2: Anti-clockwise Traverse (P-S-R-Q)In an anti-clockwise traverse, the internal angles are added to the back bearing of the previous line.
1.FB of
2.BB of
3.FB of
4.BB of
5.FB of
Both and are valid depending on the assumed direction of the traverse.Continue learning with Success Tracker
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