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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