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

Angular separation, `alpha=35.72s`
`=35.72xx4.85xx10^(-6)` rad
`=173.24xx10^(-6)` rad.
Distance of Jupiter from earth = 824.7 million km
`=824.7xx10^(6)km`
`alpha=(D)/(d)`
`D=173.2xx10^(-6)xx824.7xx10^(6)`
`=1.428xx10^(5)km`.