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    Question

    If the angular diameter of the sun is 20’, how far

    from the eye a coin of radius 3.3 cm be kept to hide the sun?
    A 1188 cm Correct Answer Incorrect Answer
    B 378 cm Correct Answer Incorrect Answer
    C 1134 cm Correct Answer Incorrect Answer
    D 567 cm Correct Answer Incorrect Answer

    Solution

    Arc AB = Diameter of coin = 3.3 × 2 = 6.6 cm θ = 20’ = (20/60)^° = (1/3)^° θ in radian = (1/3 × π/180)^c = (π/3)^c θ = arc/radius ⇒ π/540 = 6.6/r ∴ r = (6.6×540)/22 × 7 = 1134 cm.

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