GATE CE 2024 Set 1 — Question 10
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General Aptitude → Quantitative Aptitude → Mensuration & Geometry
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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 , the ratio of the Earth-Sun and Earth-Moon distances is closest to
Correct answer
(B) 382
Solution
In a right-angled triangle formed by the Earth (E), Moon (M), and Sun (S) during a half-moon phase, the angle at the Moon is . Given the Moon-Earth-Sun angle . In , . Thus, the ratio . Calculating this: . The closest value is 382.
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