Surveying FS

Answer: A - the relative accuracy (in nearest 100 ft) of a given traverse of 50,000 ft that failed to close by 0.25 ft in the northing and 0.50 ft in the easting is 1:89,400.

Solution

1. Use the closing error formula e = [ΣL² +ΣD²] ^½

Where L = latitude = northing = 0.5 ft D = departure = easting = 0.25 ft

e = [(.5)² +(.25)²]^½ = 0.559

2. Use the accuracy ratio formula.

Accuracy = radial error of closure/total length of the traverse

Accuracy = 0.559 / 50000 = 1:89,443