Question

Distance of 8 to 4.7 million km from the earth its angular diameter is measured to be 35.72 minutes calculate the diameter of jupiter

Answer 1

Distance of Jupiter from the Earth, D = 824.7 × 106 km = 824.7 × 109 m
Angular diameter = 35.72“ = 35.72 × 4.874 × 10-6 rad
Diameter of Jupiter = d
Using the relation,
θ = d/ D
d = θ D = 824.7 × 109 × 35.72 × 4.872 × 10-6
= 143520.76 × 103 m = 1.435 × 105 Km

Answer 2

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Distance of Jupiter from the Earth, D = 824.7 × 106 km = 824.7 × 109 m

Angular diameter=35.72" = 35.72 × 4.874 × 10^-6 rad

Diameter of Jupiter = d

Using the relation,

θ = d/D

=> d = D θ = 824.7 × 10^9 × 35.72 × 4.874 × 10^-6

= 1.435 × 10^5 km

I hope, this will help you

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