In case of venus, the angle of maximum elongation is found to be approximately `47^@.` Determine the distance between venus and sun `(r_(upsilon e).` and the distance between venus and earth `(r_(upsilon e).`

Explanation

Here, angle of maximum elongation
`in = 47^@, r_(upsilon s) = ?, r_(upsilon e) = ?`
We known, `r_(se) = 1A. U = 1.496xx10^(11)m.`
`r_(upsilon s) = r_(es) xx sin in`
`=1.496xx 10^(11) sin 47^@`
`1.496xx10^(11)xx0.73`
` = 1.09 xx10^(11)m`
`r_(upsilon e) =r_(se)xx cos in`
`= 1.496xx10^(11) cos 47^@`
`=1.496xx10^(11) xx0.68m`
`= 1.0xx10^(11)m`