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GATE 2024 MN – Question 41

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

A closed traverse ABC has AB 100 m at whole-circle bearing 90° and BC 120 m at 150°. Find CA’s length and bearing approximately.

  1. 190.7 m, 303°
  2. 190.7 m, 240°
  3. 160.3 m, 240°
  4. 160.3 m, 303°

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Show answer and explanation

Correct answer: (A) 190.7 m, 303°

Explanation

AB contributes(E 100, N 0); BC contributes(E 60, N−103.923). Closing vector CA is(E−160, N 103.923), in the northwest quadrant. Its length is√(160²+103.923²)=190.79 m and bearing 360°−atan(160/103.923)≈303°. Thus A.

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