Jupiter is at a distance of 824.7 million km from the Earth. Its angul

1.	Jupiter is at a distance of 824.7 million km from the Earth. Its angular diameter is measured to be 35.72″. Calculate the diameter of Jupiter.
Answer» Given, Given Distance of Jupiter = 824.7 × 10⁶ km = 8.247 × 10¹¹ m angular diameter = 35.72 × 4.85 × 10^-6 rad = 173.242 × 10^-6 rad = 1.73 × 10^-4 rad ∴ Diameter of Jupiter D = D × d = 1.73 × 10^-4 rad × 8.247 × 10¹¹ m = 14.267 × 10⁷ m = 1.427 × 10⁸ m (or) 1.427 ×10⁵km

Jupiter is at a distance of 824.7 million km from the Earth. Its angular diameter is measured to be 35.72″. Calculate the diameter of Jupiter.

Answer»

Given,

Given Distance of Jupiter = 824.7 × 10⁶ km = 8.247 × 10¹¹ m

angular diameter = 35.72 × 4.85 × 10^-6 rad = 173.242 × 10^-6 rad

= 1.73 × 10^-4 rad

∴ Diameter of Jupiter D = D × d = 1.73 × 10^-4 rad × 8.247 × 10¹¹ m

= 14.267 × 10⁷ m = 1.427 × 10⁸ m (or) 1.427 ×10⁵km