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The angle subtended by the moon at a point on the earth is 0°31'. If the distance of moon from the earth surface is 3.84×10 to the power of 5 km.Find the diameter of moon. |
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Answer» ong>Explanation: For objects that subtend a relatively SMALL angle we can use the following APPROXIMATION: s=rθ Where is the actual diameter of the object in QUESTION, r is the distance to the object, and θ is the angle subtended by the object in the sky in radians we must CONVERT degrees to radians: 0.5ºx(π/180º)=0.00873rad s=(384000000)(0.00873)=3.35×10 6 m A diameter of the moon is 3.35×10 6 m |
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