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GATE 2025 MN – Question 47

Geomechanics and Ground Control · Geomechanics · 2 marks · Numerical answer

A pit has5 benches,each8 m high with70° face angle. One bench width is24 m and the other four widths10 m. Find overall slope angle in degrees to two decimals.

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Correct answer: 23.00 to 37.00

Explanation

Total height is40 m. Total horizontal face projection is40cot70°≈14.56 m. Using the stated five widths, berm contribution is24+4×10=64 m. Overall angle is arctan[40/(64+14.56)]≈26.98°. The broad official range also accommodates alternative conventions about the top/bottom berms.

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