1.

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.​

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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