GATE 2026 MN – Question 30

Mining Geology, Mine Development and Surveying · Mine Surveying · 1 mark · Numerical answer

A circular curve of radius1000 m joins two straights with deflection angle60°. Find apex(external) distance in m, to three decimals.

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Correct answer: 153.0 to 156.0

Explanation

The centre-to-tangent-intersection distance is R sec(Δ/2). Subtract the radius to obtain apex distance E=R[sec(Δ/2)−1]. With R=1000 and Δ/2=30°, E=154.7005 m, or154.701 m.

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