When the planet Jupiter is at a distance of
824.7 million kilometers from the Earth,
its angular diameter is measured to be
35.72" of arc. Calculate the diameter of
the Jupiter.
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Explanation:
Distance of Jupiter from the Earth, D=824.7×106km
Angular diameter 35.72′′=35.72×4.874×10−6rad
Diameter of Jupiter = d
Using the relation,
θ = d/ D
d=θ D = 824.7 x 109 x 35.72 x 4.872 x 10−6 = 143520.76 x 103 = 1.435 x 105 Km
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