The moon is observed from two …
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The moon is observed from two diametrically opposite points A and B on earth. The angle theeta subtended at the moon by the two directions of observation is 1°54'. Given the diameter of the earth to be 1.276 × 10^7m . Compute the distance of the moon from the earth
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Gaurav Seth 4 years, 1 month ago
Given that the parallax angle, θ = 1° 54' = 114'
114' = 114× 60'' = 6840''
We know that 1'' = 4.85 × 10-6 rad
Therefore 1° 54' = 6840'' × (4.85 × 10-6 ) rad
θ = 3.32×10-2 rad
Given the diameter of earth, b = 1.276 × 107 m
Hence the distance of the moon from the earth = 3.843 × 108 m
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