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Question
With regard to Trigonometric Levelling, which one of the following statements is correct at its simplest applications?
A.
Determination of the elevation of stations is based on the observed vertical angles and the horizontal distances
B.
Determination of the horizontal distances is based on the observed vertical angles
C.
Determination of the vertical angles is based on the observed horizontal distances
D.
Determination of the horizontal distances is based on the observed vertical angles and the measured elevations
Answer ( Option A)

Determination of the elevation of stations is based on the observed vertical angles and the horizontal distances

Solution

Trigonometric levelling is the process of determining the differences of elevations of stations from observed vertical angles and known distances.
In Trigonometric levelling:
1. The vertical angles are measured by means of Theodolite.
2. The horizontal distances by instrument
3. Relative heights are calculated using trigonometric functions.
The trigonometric Leveling can be done in two ways:
1. Observations taken for the height and distances: In this, we can measure the horizontal distance between the given points if it is accessible and take the observation of the vertical angles and then compute the distances using them.
2. Geodetic Observations: In this, the distances between the two points are geodetic distances and the principles of the plane surveying are not applicable here. The corrections for the curvature and refraction are applied to the angles directly.

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