Q. 324.8( 19 Votes )

It is a well-know

Answer :

Fig. The Total Solar Eclipse.


Given, from examples 2.3 and 2.4 we have,


Distance between the Sun and the Earth = 1.496×1011 m


Distance between the Moon and the Earth = 3.84×108 m


Diameter of the Sun = 1.39×109 m



Fig. Schematic diagram of positions of Sun, Moon and Earth during Total Solar Eclipse.


From the above figure,


Δ PQT and Δ RST are similar. Thus,


=


Where,


PQ = Diameter of the Sun


RS = Diameter of the Moon


VT = Distance between the Sun and the Earth


UT = Distance between the Moon and the Earth


=


RS = ×106 m = 3.57×106 m


Hence, The diameter of the Moon = RS = 3.57×103 km.


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