Question

11th class how will you explain the diameter of the moon using parallax method? ​

Answer 1

Answer:

diameter of moon = parallax angle x shortest distance between moon and earth

Explanation:

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 telescope. 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,

so 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

therefore, diameter of moon = parallax angle x shortest distance between moon and earth