The moon is observed from
two diametrically opposite points A and B on Earth. The angle θ subtended at the moon by the two directions of observation is 1°54'. Given the diameter of the Earth tobe about 1.276 x 10 m,compute the distance of the moon from the Earth.
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Answer :
We have θ = 1°54 = 114
= ( 114 × 60 ) " × ( 4.85 × 10^-6) rad
= 3.32 × 10^-2 rad,
Since 1" = 4.85 × 10^-6 rad.
Also b = AB = 1.276 × 10^7 m
We have earth and moon distance,
D = (1.276 × 10^7)/3.32 × 10^-2
= 3.84 × 10^8 m
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