the moon is at a distance of 3.84 x 10 8m from the earth.if viewed from two diametrically opposite points on the earth,the angle subtended by the moon is 1degree 24minutes then what is the diameter of the earth?
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Solution:
Angle subtended
theta = 1° 54' = 114' = 114 × 2.19 × 10^-4 rad
= 3.317 × 10^-2 rad
Diameter of earth= theta × distance to the moon from the earth
= 3.317 ×10^-2 × 3.84×10^8 m
= 1.274× 10^7 m
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