Traverse adjustment – making algebraic sums of latitudes and departures zero In a closed traverse, the process of correcting the observations so that the algebraic sums of latitudes and departures are both zero is called what?

Difficulty: Easy

Correct Answer: Balancing the traverse

Explanation:


Introduction / Context:
Closed traverses ideally return to the starting point, making the algebraic sums of departures (eastings) and latitudes (northings) equal to zero. In practice, small measurement errors cause misclosures that must be distributed among the traverse legs. This question asks for the name of the operation by which both sums are adjusted to zero.


Given Data / Assumptions:

  • A closed traverse with observed bearings/angles and lengths.
  • Computed unadjusted departures and latitudes show small misclosures.
  • A standard adjustment method (e.g., Bowditch or transit rule) will be applied.


Concept / Approach:

Balancing the traverse means distributing the linear misclosures so that the final, adjusted coordinates satisfy algebraic sum of departures = 0 and algebraic sum of latitudes = 0. The Bowditch (compass) rule distributes corrections proportional to length, while the transit rule distributes proportional to the absolute value of the departure/latitude. The result is a self-consistent set of coordinates suitable for plotting and further computations (areas, coordinates of detail points).


Step-by-Step Solution:

1) Compute preliminary departures and latitudes for each side.2) Sum to find misclosures: ΣDep ≠ 0 and ΣLat ≠ 0.3) Choose an adjustment method (e.g., Bowditch).4) Apply corrections to each side; recompute so ΣDep = 0 and ΣLat = 0.


Verification / Alternative check:

After adjustment, coordinate loop should close, and area checks should be consistent. Independent checks (angular closure, distance closure) confirm the quality of the traverse.


Why Other Options Are Wrong:

Balancing latitudes/departures (alone): Corrects only one sum, not both.

Balancing the sights: Non-standard term in traverse adjustment.


Common Pitfalls:

Forgetting to adjust both components; applying unequal sign conventions; neglecting to recompute coordinates after distributing corrections.


Final Answer:

Balancing the traverse

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