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Jupiter is at a distance of 824.7 millio...

Jupiter is at a distance of 824.7 million km from the Earth. Its angular diameter is measured to be 35.72". Calculate the diameter of Jupiter.

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Distance of jupiter ` = 824.7 xx 10^6 km = 8.247 xx 10^11 m`
angular diameter ` = 35.72 xx 4.85 xx 10^(-6) rad = 173.242 xx 10^(-6) rad`
` = 1.73 xx 10^(-4) rad `
`therefore` diameter of jupiter D` = theta xx d = 1.73 xx 10^(-4) rad xx 8.247 xx 10^11 m`
` = 14.267 xx 10^7 m = 1.427 xx 10^4 m " or " 1.427 xx 10^5 km `
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