Question

How will you measure the diameter of the Moon using parallax method​

Answer 1

Answer:

The diameter of the moon is to be calculated by the parallax method, by assuming two points serving as the diameter ends and define the angle made by it on earth and assume the parallel shortest distance. Apply tangent and trigonometry to infer the finding.

Answer 2

Answer:

Let the diameter of noon is D.

suppose E is the point on the Earth's surface from where we have to see moon by using telecope. Now, telescope is focused on the moon's surface and image is shown is observed as shown in figure.

With help of telescope , we can determine ∠AEB,

let we get , ∠AEB = Ф

Let S is the shortest distance between moon and earth.

Now, apply tangent for ∆ABE,

∴ tanФ = AB/S [ because angle Ф very small , ∴ AB = S ]

also, if Ф → 0 then, tanФ ≈ Ф

Hence, Ф = AB/S

AB = ФS

Hence, diameter of moon = parallax angle × shortest distance between moon and earth