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

Explanation

Given angular dimeter `theta=35.72=35.72xx4.85xx10^(-6) rad`
`=173.242xx10^(-6)=1.73xx10^(-4) rad`
Diameter of Jupiter `D = theta xx d=1.73xx10^(-4)xx824.7xx10^(9) m`
`=1426.731xx10^(3)=1.43xx10^(8) m`