Question Bank • QB_SWCE_ADV_138 NAT • 2 Marks

Section 4: Soil and Water Conservation Engineering

Surveying and Levelling

Subtopic: The Theodolite traversing

Question Statement:

In a closed polygon traverse, the algebraic sum of latitudes is found to be $\sum L = +0.36\text{ m}$ and the algebraic sum of departures is $\sum D = -0.48\text{ m}$. The magnitude of the linear closing error $e$ in meters is ________ (round off to two decimal places).

Answer Key:

0.60

Step-by-Step Solution & Explanation

1. Linear closing error $e$: $e = \sqrt{(\sum L)^2 + (\sum D)^2}$ 2. Substituting values: $(\sum L)^2 = (0.36)^2 = 0.1296\text{ m}^2$ $(\sum D)^2 = (-0.48)^2 = 0.2304\text{ m}^2$ $e = \sqrt{0.1296 + 0.2304} = \sqrt{0.3600} = 0.60\text{ m}$
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