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GATE 2026 CE (CE1) – Question 20

Geomatics Engineering · Distance and angle measurement, levelling, traversing, triangulation, total station · 1 mark · Multiple choice

The Whole Circle Bearing (WCB) of line AB is 150°. The length of AB is 100 m. The latitude and departure values, respectively, for this line are:

  1. +86.60 ; +50.00
  2. +86.60 ; -50.00
  3. -86.60 ; +50.00
  4. -86.60 ; -50.00

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Correct answer: (C) -86.60 ; +50.00

Explanation

The latitude is $L\cos\theta = 100\cos 150° = -86.60$ m, and the departure is $L\sin\theta = 100\sin 150° = +50.00$ m.