PS Traverse & Leveling Calculations 2

Question 1

A closed traverse has ΣLat = +0.42 ft and ΣDep = −0.31 ft. What is the linear error of closure (LEC)?

Accepted Answer

0.52 ft

Answer

LEC = √(0.42² + 0.31²) = √(0.1764 + 0.0961) = √0.2725 ≈ 0.52 ft.

Question 2

A traverse with a total perimeter of 3,240 ft has a linear error of closure of 0.81 ft. What is the precision ratio?

Accepted Answer

1:4,000

Answer

Precision ratio = perimeter ÷ LEC = 3,240 ÷ 0.81 = 4,000, expressed as 1:4,000.

Question 3

When using the Compass (Bowditch) Rule to balance a traverse, the correction to each course is distributed proportionally to:

Accepted Answer

The length of each individual course relative to the total perimeter

Answer

The Compass Rule assumes that angular and linear errors are equally likely, so it distributes corrections proportionally to course length.

Question 4

A traverse course has a bearing of N 62°15' E and a length of 387.42 ft. What is the departure of this course?

Accepted Answer

343.0 ft

Answer

Departure = L × sin(bearing angle) = 387.42 × sin(62°15') ≈ 387.42 × 0.8849 ≈ 343.0 ft.

Question 5

A 6-sided closed traverse has measured interior angles summing to 721°30'. What is the angular misclosure?

Accepted Answer

1°30'

Answer

Theoretical interior angle sum for a hexagon = (6−2)×180° = 720°; misclosure = 721°30' − 720°00' = 1°30'.

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