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Back to Practice Questions
CivilAdvanced Survey
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Co-ordinate length measured perpendicular to an assumed meridian direction is known as_____

A

Bearing

B

Latitude(L = lcos╔╡)

C

Departure(D = lsin╔╡)

D

A, B and C

Correct Answer

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

Departure(D = lsin╔╡)

Quick Summary:

In surveying, coordinates are expressed as rectangular components relative to a reference meridian. The coordinate length measured perpendicular to the meridian is defined as Departure, representing the east-west distance of a point or a line from the meridian.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

In surveying, coordinates are expressed as rectangular components relative to a reference meridian. The coordinate length measured perpendicular to the meridian is defined as Departure, representing the east-west distance of a point or a line from the meridian.

ЁЯФв Key Formulas

D=lsinтБб╬╕D = l \sin \thetaD=lsin╬╕ тАФ Definition of Departure

L=lcosтБб╬╕L = l \cos \thetaL=lcos╬╕ тАФ Definition of Latitude

тЪЩя╕П Working Principle

Given a survey line of length lll at a bearing ╬╕\theta╬╕ from a meridian, the projection along the meridian is the Latitude (L=lcosтБб╬╕L = l \cos \thetaL=lcos╬╕), and the projection at a right angle to the meridian is the Departure (D=lsinтБб╬╕D = l \sin \thetaD=lsin╬╕). Departure is positive for lines trending East and negative for lines trending West.

ЁЯУМ Key Points
  • тЦ╕

    Latitude is the projection on the North-South axis.

  • тЦ╕

    Departure is the projection on the East-West axis.

  • тЦ╕

    The sum of all latitudes in a closed traverse is zero.

  • тЦ╕

    The sum of all departures in a closed traverse is zero.

тЬЕ Advantages
  • тЦ╕

    Simplifies calculation of coordinates in a closed traverse.

  • тЦ╕

    Enables precise computation of error of closure.

тЭМ Disadvantages / Limitations
  • тЦ╕

    Depends on the accuracy of linear measurement and angular bearing.

  • тЦ╕

    Cumulative errors can affect the calculation if local attraction is present.

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Plotting survey maps using coordinate geometry.

  • тЦ╕

    Calculating the area of closed traverses using the DMD (Double Meridian Distance) method.

ЁЯУД Additional Information
  • тЦ╕

    The meridian is typically taken as true north, magnetic north, or an arbitrary local reference.

  • тЦ╕

    Option B (Latitude) is the coordinate length measured parallel to the meridian.

ЁЯУК Diagram / Illustration
Departure Calculation
D=lsinтБб╬╕D = l \sin \thetaD=lsin╬╕
Where: lll = length of line, ╬╕\theta╬╕ = bearing
тЬЕ

C is correct тАФ Departure is the coordinate length measured perpendicular to the meridian, calculated as D=lsinтБб╬╕D = l \sin \thetaD=lsin╬╕.

Core Concepts Used
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Theodolite Surveying Traverse Computations Rectangular Coordinates
ЁЯТб EXAM TIP

Remember that 'Latitude' relates to 'cos' (vertical/meridian) and 'Departure' relates to 'sin' (horizontal/perpendicular) to avoid confusion during rapid calculations.

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