Question

When the planet Jupiter is at a distance of 824.7 million km from the earth, its angular diameter is measured to be 35.72″ of arc. Calculate diameter of Jupiter.

Answer 1

θ = 35.72"

 I" = 4.85 x 10-6 radian ⇒ 35.72" = 35.72 x 4.85 x 10^-6 rad

d = Dθ = 824.7 x 35.72 x 4.85 x 10^-6 = 1.4287 x 10⁵ km