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The earth-moon distance is about 60 eart...

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

Text Solution

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Angle subtended at distance r due to an arc of length 1 is

`theta=(l)/(r)`
Given `l=R_(e), r=600 R_(e)`
`theta=(R_(e))/(60R_(e))=(1)/(60) "rad" = (1)/(60)xx(180^(@))/(pi)`
`:. theta=(3)/(pi)=1^(@)`
Thus, angle subtended by diameter of the earth
`=2 theta=2^(@)`.
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