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Question

Figure below shows an open traverse PQRS, where P is the starting point of traverse and S is the end point of traverse. Which one of the following is correct?

The correct answer is
$\angle P$ = Bearing = $75°$, $\angle R$ = Deflection Angle = $32°$, $\angle Q$ = Included Angle = $120°$

This question involves understanding the different types of angles in an open traverse, which is a type of survey conducted in linear paths. The given diagram shows angles at different points labeled as P, Q, and R.

  1. Bearing Angle: This is the angle measured between a line and the reference meridian, usually the magnetic north. In the diagram, the angle at point P is given as 75^\circ, which is the bearing.
  2. Deflection Angle: This is the angle by which a traverse line deflects from the previous line. It is usually measured from the extension of the back line. In this diagram, angle R is 32^\circ, thus making it the deflection angle.
  3. Included Angle: This is the internal angle between two traverse lines at a vertex within the polygon. At point Q, the angle is 120^\circ, which is an included angle.

Based on these definitions, the correct assignment of angles from the options given is:

  • \angle P = 75^\circ (Bearing),
  • \angle Q = 120^\circ (Included Angle),
  • \angle R = 32^\circ (Deflection Angle).

Hence, the correct answer is:

$\angle P$ = Bearing = $75°$, $\angle R$ = Deflection Angle = $32°$, $\angle Q$ = Included Angle = $120°$
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Important Questions from Traversing

  1. The forebearing of four sides of a closed quadrilateral ABCDA are
    AB = 60°, BC = 149.87°, CD = 269.5°, DA = 20.17°.

    The calculated value of interior angle D is _____° (Answer in decimal degrees and rounded off to two decimal values).
  2. The angular misclosure of the closed-loop traverse shown in the figure is _____________ ° (Answer in decimal degrees and rounded off to three decimal places)

  3. It is needed to establish the coordinates of a station A. Two stations B and C are available whose coordinates are given in the table.

    Length of line CA = 1212.38 m; ∠BCA = 64°.

    The Easting of station A is _______ m (Rounded off to two decimal places).

    Assume station A lies to the west of the traverse line BC.

    StationEasting (m)Northing (m)
    B11054.099484.37
    C10827.6210112.15
  4. If the departure and latitude of a line are 70 m and -130 m, respectively, then the whole circle bearing of the line in degrees is
  5. While carrying out a traverse survey ABCDA' using a theodolite with the originating station A, the departures and latitudes of the lines, as obtained, are shown in the following figure (not drawn to scale). It is seen that, due to the observational errors, the originating station A and its computed station A' are not the same. For this survey, the 'closing error' in m is 

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