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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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(i) C is the centre of the Earth. A and B are two diametrically opposite places on the surface of the Earth.
(ii) From A and B, the paralaxes `theta_(1)` and `theta_(2)` respectively of Moon `M` with respect to some distant sstar are determined with the help of an astronomical telescop.
(iii) Thus, the total parallax of the Moon subtended on Earth `/_AMB=theta_(1)+theta_(2)=theta`.
(iv) If `theta` is measured in radians, then
`theta=(AB)/(AM),AM~~MC`
`theta=(AB)/(MC)` or `MC=(AB)/(theta)` , Knowing the values of AB and `theta`
(v) We can calculate the distance MC of Moon from the Earth. [Parallax difference in the apparent position from different lines of sight- measured by angle]
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