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GATE 2024 Chemical Engineering, Q10 · General Aptitude

The correct answer is B, 382.

Question

During a half-moon phase, the Earth-Moon-Sun form a right triangle. If the Moon-Earth-Sun angle at this half-moon phase is measured to be 89.85°,89.85°, the ratio of the Earth-Sun and Earth-Moon distances is closest to

  • A. 328
  • B. 382
  • C. 238
  • D. 283

Official answer: 382

Why

GATE 2024 official key: (B). With the right angle at the Moon, Earth-Sun/Earth-Moon =1/cos(89.85°)=1/sin(0.15°)≈1/0.002618≈382.= 1/cos(89.85°) = 1/sin(0.15°) \approx 1/0.002618 \approx 382.

Explanation cross-checked for consistency. Final answer matches the official IIT answer key.

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