Consider the following methods used to establish a point in the field. (Refer to the figure below.)

F1 Savita ENG 11-12-23 D7

Method 1: Point O is plotted by measuring only the distances MO and NO.

Method 2: Point O is plotted by measuring only the angles NMO and MNO.

Which of these methods also represents the principle of trigonometrical levelling?

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  1. Method 1 only
  2. Neither Method 1 nor Method 2
  3. Method 2 only
  4. Both Method 1 and Method 2

Answer (Detailed Solution Below)

Option 3 : Method 2 only
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Detailed Solution

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Explanation:

While surveying to establish any point or line, we need at least two other reference points.

To plot point O

1. Measured MO and NO reference lines can be used.

(NOTE: this principle is similar to chain surveying not trigonometrical leveling as asked in the question)

F1 Savita ENG 11-12-23 D8

2. By using the angles OMN and ONM.

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3. By using angle OMN and line MO.

F1 Savita ENG 11-12-23 D10

So the plotting of O can be done by method 2 only with the principle of trigonometric levelling

Additional Information

  • Cadastral survey: Cadastral survey are made incident to the fixing of property lines, the calculation of land area, or the transfer of land property from one owner to another. They are also made to fix.the boundaries of municipalities and of state and federal jurisdictions.
  • Topographical survey: This consists of horizontal and vertical location of certain points by linear and angular measurements and is made to determine the natural features of a country such as rivers,
  • streams, lakes, woods, hills etc and such artificial features like roads, railways etc.
  • City survey: They are made in connection with the construction of streets, water supply systems, sewers and other works.
  • Topographical, cadastral and city survey are the parts of Land surveying
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