Solution:

Accuracy of Traverse:

To determine the accuracy of traverse, we need to calculate the closing error of the traverse, which is given by:

Closing Error = √(ΣL²) = √[(ΣLatitude)² + (ΣDeparture)²]

where,

ΣL = sum of the lengths of all traverse legs
ΣLatitude = sum of all latitudes (i.e. northings)
ΣDeparture = sum of all departures (i.e. eastings)

Given, ΣLatitude = 5.080 m, ΣDeparture = -51.406 m, and ΣL = 20.525 km = 20,525 m

Therefore, Closing Error = √[(5.080)² + (-51.406)²] = 51.666 m

Hence, the accuracy of traverse is nearly equal to 51.666 m.

Explanation:

Traverse is a surveying method in which a series of connected lines are measured along with the angles turned between them to establish the positions of points on the ground. A closed traverse is one in which the starting and ending points coincide.

In a closed traverse, the sum of latitudes and departures should be zero if there is no mistake in the measurements. However, due to errors in measurements, the sum of latitudes and departures may not be equal to zero. The closing error is the difference between the sum of latitudes and departures, which indicates the accuracy of the traverse.

The closing error should be as small as possible to ensure the accuracy of the traverse. The accuracy of the traverse also depends on the length of the traverse legs and the precision of the instruments used for measurement.

In this problem, we have calculated the closing error of the traverse using the given values of sum of latitudes, sum of departures, and sum of lengths of traverse legs. The closing error is found to be 51.666 m, which indicates the accuracy of the traverse.