It is a well known fact that during a total solar eclipse the disk of the moon almost completely covers the disk of the Sun. From this fact and from the information you can gather determine the approximate diameter of the moon.
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# Answer - 3600 km
# Explaination-
The position of sun(S), moon(M) and earth(E) during solar eclipse is shown in the figure.
# Gathered data-
Distance of moon from earth ME = 3.84×10^8 m
Distance of sun from earth SE = 1.5×10^11 m
Diameter of sun AB = 1.4×10^9 m
From the figure, triangle ABE and triangle CDE are similar.
Hence,
AB/CD = SE/ME
CD = AB×ME/SE
CD = 1.4×10^9 × 3.84×10^8 / 1.5×10^11
CD = 3.6×10^6 m
CD = 3600 km
Hence, diameter of moon is 3.6×10^6 m.
# Answer - 3600 km
# Explaination-
The position of sun(S), moon(M) and earth(E) during solar eclipse is shown in the figure.
# Gathered data-
Distance of moon from earth ME = 3.84×10^8 m
Distance of sun from earth SE = 1.5×10^11 m
Diameter of sun AB = 1.4×10^9 m
From the figure, triangle ABE and triangle CDE are similar.
Hence,
AB/CD = SE/ME
CD = AB×ME/SE
CD = 1.4×10^9 × 3.84×10^8 / 1.5×10^11
CD = 3.6×10^6 m
CD = 3600 km
Hence, diameter of moon is 3.6×10^6 m.
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