Question

When a planet X is at a distance of 824.7 million kilometers from earth its angular diameter is measured to be 35.7211 of arc. Calculate the diameter of ‘X’​

Answer 1

Distance of plant X 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 planet X = 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