GATE AG 2007 • Q11 MCQ • 1 Mark

Section 4: Soil and Water Conservation Engineering

Soil and Water Erosion

Subtopic: Mechanics of soil erosion – wind and water erosion

Question Statement:

The angle between the lines AB and BC whose respective bearings are 35° and 140° is

Options:

  • (A) 75°
  • (B) 115°
  • (C) 175°
  • (D) 185°

Official Answer Key:

A

Step-by-Step Solution & Explanation

Back bearing of AB = 35° + 180° = 215°. Angle ABC (interior angle at B) = Back bearing of AB − bearing of BC = 215° − 140° = 75°. (B) results from a sign/quadrant error; (C) is 180°−(true angle); (D) adds instead of subtracting.

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