When the planet Jupiter is at a distance of 824.7 million kilometres from the Earth, its angular diameter is measured to be 35.72” of arc. Calculate the diameter of Jupiter.


Given,

Distance of Jupiter from Earth, D = 824.7 million kilometres


D = 824.7 × 106 × 103 m


D = 8.247 × 1011 m


Angular diameter, θ = 35.72”


θ = 35.72 × 1’/60




Let d be the diameter of Jupiter.


We know,


θ = d/D


d = θD



d = 1.43 × 108 m


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