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How will measure the diameter of the Moo...

How will measure the diameter of the Moon using parallax method?

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Let C be the centre of the Earth, A and B are two diametrically opposite places on the surface of the Earth as shown in figure. From A and B, the parallaxes `theta_(1) and theta_(2)` respectively of Moon M with respect to some distant star are determined with the help of an astronomical telescope.
Thus, the total parallax of the Moon subtended on Earth `angleAMB=theta_(1)+thea_(2)=theta`.

If `theta` is measred in radians, then `theta=(AB)/(AM), AM~~MC`.
`theta=(AB)/(MC) or M.C=(AB)/(theta)`
Knowing the values of AB and `theta`, teh distance MC of Moon from the Earth can be calculated.
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