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in Physics by (24.2k points)

Describe, with the help of a diagram, how the distance of a planet can be measured from earth?

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Let 'P' be the planet. It is observed from two different positions A and B on the earth at the same time. A distant star S is in the direction of the planet.

Measure ∠SAP and ∠S'BP

Let ∠SAP = θ1, and ∠S'BP = θ2

∠APB=θ1+ θ2 =0 (say).

Let d be the distance between A and B,

i.e., AB = d

we have θ =Arc/Radius = d/D

or d/θ

D is the distance between then earth and  the planet

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