The GATE Grind

GATE 2025 MN – Question 41

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

A closed traverse PQRS has fore bearings PQ60°30′,QR105°30′,RS220°30′,SP310°30′. Find interior angles at P and R respectively.

  1. 45°,115°
  2. 70°,65°
  3. 135°,90°
  4. 250°,115°

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Show answer and explanation

Correct answer: (B) 70°,65°

Explanation

At P the incoming SP reversed gives PS130°30′. Its smaller angle with PQ60°30′ is70°. At R, RQ is QR+180°=285°30′, differing from RS220°30′ by65°. Thus B. Reverse the incoming direction before comparing bearings at a vertex.

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