What is the relative error of closure for a tertiary traverse with certain errors in latitude and departure?

The relative error of closure for a tertiary traverse is determined by comparing the errors in latitude and departure, which are components of the distance measured in geodetic surveying. The closure error is calculated by assessing how much the computed position deviates from the known position, and it is often expressed as a ratio or fraction to communicate the precision of the survey.

In this context, the ratio of the errors in latitude and departure provides a quantifiable measure of the accuracy of the traverse. The fractional value of 1/6,506 for the relative error of closure reflects a level of precision that is suitable for tertiary-level surveys, which are typically more accurate than those in primary or secondary categories. The correctness of this choice can be attributed to the standards in surveying, where a tighter closure error ratio indicates better precision in measurements.

In contrast, the other choices represent different standards of precision. These ratios may indicate higher or lower relative errors that do not meet the expected accuracy level for a tertiary traverse. Choosing 1/6,506 suggests a quality of work and error tolerance that aligns with geodetic surveying best practices, thus making it the appropriate selection for this question.