Question
Mon April 20, 2015 By: Sanmit Ratnaparkhi

The moon is observed from 2 diametrically extremes A andB on earth. The angle of parallax is found to be 1°54'.if the diameter  of earth is about 1.276×10^7m estimate the distance  of the moon from the earth

Expert Reply
Jyothi Nair
Tue April 21, 2015
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
begin mathsize 12px style We space know space that space straight D space equals space straight b over straight theta straight D space equals space fraction numerator 1.276 cross times 10 to the power of 7 over denominator 3.32 space cross times 10 to the power of negative 2 end exponent end fraction equals 3.843 cross times 10 to the power of 8 space straight m end style
 
Hence the distance of the moon from the earth = 3.843 × 108 m
 
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