Diameters are equivalent to arc lengths


The moon is about 3.85 x 108 m from earth and consists of a diameter of 3.48 x 106 m. You contain a pea (diameter = 0.50 cm) and a dime (diameter = 1.8 cm). Close one eye and hold each object at arm's length (71 cm) among your open eye and the moon. Which objects, if any, fully cover your view of the moon? Suppose that the moon and both objects are amply far from your eye that the given diameters are equivalent to arc lengths when computing angles.

i) Dime

ii) Neither

iii) Pea

iv) Both

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Physics: Diameters are equivalent to arc lengths
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