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 Jupiter.
Given, the distance of the planet Jupiter from the Earth is 824.7 million kilometers and the angular diameter is 35.72 ″ of arc. Let D be the distance of Jupiter from the Earth and d be the diameter of the planet Jupiter. The angular diameter of the Jupiter is given as, θ = d D d = θ D Substitute the required values in the above equation. d = θ D = 35.72 " × 824.7 × 10 6 k m = 35.72 " × 4.874 × 10 − 6 × 824.7 × 10 9 m = 1.429 × 10 5 k m Thus, the diameter of the planet Jupiter is 1.429 × 10 5 km.
