When the planet Jupiter is at a distance of 824.7 million kilometers from the earth, its angular diameter is measured to be 35.72 of arc. Calculate the diameter of Jupier.

Explanation

Distance `D=824.7xx10^(6)m`
`theta=35.72^(n)=35.72/(60xx60)xx(pi)/180` rad
`theta to` is angular diameter
Diameter `d=?,d=Dxxtheta`
`=824.7xx10^(6)xx35.72/(60xx60)xx(pi)/180km`
`=824.7xx10^(6)xx35.72/3600xx(pi)/180km`
`=824.7xx10^(6)xx(35.72xx3.14)/(3600xx180)km`
Diameter of Jupiter `=1.427xx10^(5)km`