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CivilAdvanced Survey
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The Coordinates of a point with reference to the preceding point are called___

A

A) Consecutive Coordinates

B

B) Independent Coordinates

C

C) Total (latitude or departure)

D

D) None of the above

Correct Answer

тЪЩя╕П TE тАв Technical Concept & PrincipleCivilAdvanced Survey
Option A

Consecutive Coordinates

Quick Summary:

Consecutive coordinates (also known as dependent coordinates) are the latitude and departure of a traverse line calculated with respect to the immediately preceding station. Latitude represents the north-south distance component, while departure represents the east-west distance component relative to the prior point.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

Consecutive coordinates (also known as dependent coordinates) are the latitude and departure of a traverse line calculated with respect to the immediately preceding station. Latitude represents the north-south distance component, while departure represents the east-west distance component relative to the prior point.

ЁЯФв Key Formulas

Latitude=LcosтБб(╬╕)\text{Latitude} = L \cos(\theta)Latitude=Lcos(╬╕) тАФ North-South projection relative to preceding point

Departure=LsinтБб(╬╕)\text{Departure} = L \sin(\theta)Departure=Lsin(╬╕) тАФ East-West projection relative to preceding point

тЪЩя╕П Working Principle

In traverse surveying, each station's relative position is determined sequentially using the length and reduced bearing of the connecting line. The latitude is computed as LcosтБб(╬╕)L \cos(\theta)Lcos(╬╕) and the departure as LsinтБб(╬╕)L \sin(\theta)Lsin(╬╕), where LLL is the line length and ╬╕\theta╬╕ is the reduced bearing relative to the preceding point.

ЁЯУМ Key Points
  • тЦ╕

    Consecutive coordinates are also referred to as dependent coordinates because they depend on the location of the previous survey station.

  • тЦ╕

    Independent coordinates (or total latitude and total departure) are referenced with respect to a single fixed common origin.

тЬЕ Advantages
  • тЦ╕

    Simplifies local traverse computations line by line.

  • тЦ╕

    Allows easy checking of consecutive latitude and departure sum errors for closed traverses.

тЭМ Disadvantages / Limitations
  • тЦ╕

    Error in one point propagates directly to all subsequent consecutive points.

  • тЦ╕

    Does not directly give the absolute global position without summing up from the origin.

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Computation of closed and open traverse survey networks in theodolite surveying.

  • тЦ╕

    Calculation of interior area and closing errors in land surveying.

ЁЯФД Comparison Table
FeatureConsecutive CoordinatesIndependent Coordinates

Reference Point

Immediately preceding station

Common fixed origin

Alternative Name

Dependent Coordinates / Local Lat & Dep

Total Coordinates / Total Lat & Dep

ЁЯУД Additional Information
  • тЦ╕

    Independent coordinates of a station are obtained by algebraically adding the consecutive coordinates of all preceding lines to the coordinates of the initial station.

  • тЦ╕

    Option B is incorrect because independent coordinates are referenced to a common fixed origin, not the preceding point.

  • тЦ╕

    Option C is incorrect because total latitude or departure refers to the cumulative independent coordinates with respect to the origin.

ЁЯУК Diagram / Illustration
Consecutive CoordinatesCoordinates with Reference to Preceding PointLatitude = L ├Ч cos(╬╕) | Departure = L ├Ч sin(╬╕)Dependent on the immediate previous station
тЬЕ

A is correct тАФ The coordinates of a survey point measured relative to the preceding point are defined as consecutive coordinates.

Core Concepts Used
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Latitude and Departure Consecutive Coordinates Independent Coordinates
ЁЯТб EXAM TIP

Always remember: Consecutive coordinates depend on the previous point, whereas Independent coordinates depend on a fixed origin.

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