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Hey buddy,
# Answer- d = 1.4×10^5 km
# Given-
Distance of Jupiter from the Earth
D = 824.7×10^6 km = 824.7 × 10^9 m
Angular diameter
θ = 35.72“ = 35.72×4.874×10^-6 rad
# Formula-
Angular diameter of jupiter is given by relation,
θ = d/D
d = θ.D
d = 824.7×10^9×35.72×4.872×10^-6
d = 143520.76×10^3 m
d = 1.435 × 10^5 Km
Hence, diameter of jupiter is 1.4×10^5 km.
Hope this helps you ....
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