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The moon's distance from the earth is 36...

The moon's distance from the earth is 360000 km and its diameter subtends an angle of 42' at the eye of the observer. The diameter of the moon is

A

`4400`

B

`1000`

C

`3600`

D

`8800`

Text Solution

Verified by Experts

The correct Answer is:
A
Here angle is very small so diameter `~~` arc
`theta=42'=(42xx1/60)^(0)=42xx1/60xxpi/180=(7pi)/1800 rad`
Diameter `=Rtheta=360000xx7/1800xx22/7=4400 km`
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