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Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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CivilAdvanced Survey
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The departure of line is +ve so its terms called by____

A

Northing

B

Southing

C

Easting

D

Westing

Correct Answer

⚙️ TE • Technical Concept & PrincipleCivilAdvanced Survey
Option C

Easting

Quick Summary:

In surveying, the Departure of a line represents its orthogonal projection onto the East-West axis. A positive value for Departure indicates that the line is oriented toward the East, while a negative value signifies orientation toward the West.

⚙️TETechnical SolutionConcept & Principle
💡 Explanation

In surveying, the Departure of a line represents its orthogonal projection onto the East-West axis. A positive value for Departure indicates that the line is oriented toward the East, while a negative value signifies orientation toward the West.

🔢 Key Formulas

D=L⋅sin⁡(θ)D = L \cdot \sin(\theta)D=L⋅sin(θ) — Departure calculation formula

⚙️ Working Principle

The Departure (DDD) of a line is calculated using the formula D=L⋅sin⁡(θ)D = L \cdot \sin(\theta)D=L⋅sin(θ), where LLL is the length of the line and θ\thetaθ is the reduced bearing. Since the sine function is positive in the first and second quadrants (East direction) and negative in the third and fourth quadrants (West direction), the sign of the departure directly indicates the cardinal direction relative to the survey meridian.

📌 Key Points
  • ▸

    Departure is the projection of a traverse line on the East-West axis.

  • ▸

    Latitude is the projection of a traverse line on the North-South axis (L⋅cos⁡(θ)L \cdot \cos(\theta)L⋅cos(θ)).

  • ▸

    Positive Departure = Easting; Negative Departure = Westing.

  • ▸

    Positive Latitude = Northing; Negative Latitude = Southing.

✅ Advantages
  • ▸

    Essential for calculating closing errors in traverse surveying.

  • ▸

    Used for computing coordinates of survey stations.

❌ Disadvantages / Limitations
  • ▸

    Calculation is dependent on the accurate determination of bearings.

  • ▸

    Requires proper quadrant identification for sign consistency.

🛠️ Applications / Uses
  • ▸

    Plotting survey maps.

  • ▸

    Adjusting closed traverses using the Transit or Bowditch rule.

📄 Additional Information
  • ▸

    Departure is also known as 'Total Easting' or 'Total Westing' depending on the sign.

  • ▸

    Option A (Northing) and B (Southing) relate to Latitude calculations, not Departure.

📊 Diagram / Illustration
Departure (D)Length · sin(θ)Direction (East: +, West: -)
✅

C is correct — A positive departure indicates the line is displaced toward the East, referred to as Easting.

Core Concepts Used
Click any tag to open in AI Tutor
Traverse Surveying Latitude and Departure Coordinate Geometry
💡 EXAM TIP

Remember the mnemonic 'Sine is for Side' (Departure) and 'Cosine is for Column' (Latitude) to avoid mixing up the trigonometric functions during calculations.

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