Question Bank • QB_SWCE_SUR_004 NAT • 2 Marks

Section 4: Soil and Water Conservation Engineering

Surveying and Levelling

Subtopic: The Theodolite traversing

Question Statement:

A line $AB$ in a theodolite traverse has a surveyed length $l = 100.0\text{ m}$ and a Whole Circle Bearing of $60^\circ$. Taking $\sin 60^\circ = 0.8660$, the departure ($D = l \sin \theta$) of line $AB$ in metres is ________ (round off to 1 decimal place).

Answer Key:

86.6

Step-by-Step Solution & Explanation

In plane theodolite traversing: $\text{Latitude} = l \cos \theta$ $\text{Departure} = l \sin \theta$ Given: • $l = 100.0\text{ m}$ • $\theta = 60^\circ$ $\text{Departure} = 100.0 \times \sin 60^\circ = 100.0 \times 0.8660 = 86.6\text{ m}$
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