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GATE 2021 MN – Question 38

Mining Geology, Mine Development and Surveying · Mine Surveying · 2 marks · Multiple choice

In the Weisbach triangle shown, CD has bearing 286°00′00″ and length 4.64 m, angle CED=00°00′40″, and DE=5.46 m. Find the bearing of CE.

Diagram for GATE 2021 MN question 38
  1. 286°00′47″
  2. 285°59′12.9″
  3. 286°00′40″
  4. 285°00′47.1″

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Show answer and explanation

Correct answer: (B) 285°59′12.9″

Explanation

The small-angle sine-rule correction at C is approximately(DE/CD)×40″=(5.46/4.64)×40″=47.069″. The illustrated orientation requires subtraction from the CD bearing. Thus 286°00′00″−47.069″=285°59′12.9″, option B. Sexagesimal borrowing is essential.

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