The diameter of the moon is 3474km and is 384,400 km away from the earth. Calculate the angular diameter of the moon in arc minutes.

Explanation

Given diameter of the moon, d= 3474 km
Distance between earth and the moon, D= 384, 400km
angular diameter of the moon, `alpha=(d)/(D)=(3474)/(384400)`
`implies alpha = 9.03xx10^(-3)"rad"`
1 rad `=((1)/(2.92xx10^(-4))).`
`alpha= ((9.03xx10^(-3))/(2.91xx10^(-4)))^(.)`
`alpha=3.103xx10.`
`=31.03.`.