Question

when the planet Jupiter is at a distance of 824.7 million km from earth its angular diameter is measured to be 35.72'' of arc. calculate the diameter of Jupiter

Answer 1

we must convert every measurement into si units. answer is 1.418×10^8 metres.

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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