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Question: The distance of the moon from the earth is about 60 times the radius of the earth. What will be diam...

The distance of the moon from the earth is about 60 times the radius of the earth. What will be diameter of the earth (approximately in degrees) as seen from the moon?

A

10

B

20

C

40

D

60

Answer

20

Explanation

Solution

Form figure,

θ=2RE60RE=130rad=130×180π=2\theta = \frac{2R_{E}}{60R_{E}} = \frac{1}{30}rad = \frac{1}{30} \times \frac{180{^\circ}}{\pi} = 2{^\circ}

\thereforeDiameter of the earth as seen from the moon is about 22{^\circ}