The 'closed traverse' survey check uses the condition that:
Choose the correct answer
All bearings must be the same
Sum of angles = (n-2)×180°; Σlatitude = 0; Σdeparture = 0 — geometric consistency of a closed polygon
All distances must be equal
No check is possible for a closed traverse
Correct Answer
B. Sum of angles = (n-2)×180°; Σlatitude = 0; Σdeparture = 0 — geometric consistency of a closed polygon
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Closed traverse check: (1) Sum of interior angles of a polygon = (n-2)×180°; (2) Algebraic sum of latitudes Σ(D cosθ) = 0; (3) Algebraic sum of departures Σ(D sinθ) = 0. If these are not zero: closing error (misclose). Latitude/departure error components corrected by Bowditch rule: correction ∝ line length. Angular misclosure distributed equally among all angles before computing bearings.
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