How do we decide the proportion of misclosure a latitude or departure receives?

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Multiple Choice

How do we decide the proportion of misclosure a latitude or departure receives?

When adjusting a traverse, the small remaining offset after closing the loop (the misclosure) needs to be shared among the legs. For latitude (north-south) and departure (east-west), the usual method is to divide that misclosure in proportion to each leg’s horizontal distance. The idea is that longer legs contribute more to the overall misclosure, so they should bear more of the correction. This keeps the adjustments physically meaningful because the corrections scale with how much each leg actually changed the position. For example, if the total latitude misclosure is 4 units and the leg lengths are 60 and 40, you allocate 60/100 of the misclosure to the first leg and 40/100 to the second. That gives 2.4 units for the first leg and 1.6 units for the second (adjustments applied with the appropriate sign). Do the same separately for the departure component. This approach is a standard, straightforward way to distribute misclosure; more rigorous methods (like least squares) exist, but proportioning by horizontal distance is the common teaching method for lat/dep adjustments.

When adjusting a traverse, the small remaining offset after closing the loop (the misclosure) needs to be shared among the legs. For latitude (north-south) and departure (east-west), the usual method is to divide that misclosure in proportion to each leg’s horizontal distance. The idea is that longer legs contribute more to the overall misclosure, so they should bear more of the correction. This keeps the adjustments physically meaningful because the corrections scale with how much each leg actually changed the position.

For example, if the total latitude misclosure is 4 units and the leg lengths are 60 and 40, you allocate 60/100 of the misclosure to the first leg and 40/100 to the second. That gives 2.4 units for the first leg and 1.6 units for the second (adjustments applied with the appropriate sign). Do the same separately for the departure component.

This approach is a standard, straightforward way to distribute misclosure; more rigorous methods (like least squares) exist, but proportioning by horizontal distance is the common teaching method for lat/dep adjustments.

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