The moon is observed from two diametrically opposite points A and B on earth.The angle Q substended at the moon by the two directions of observation is 1°54'.Given the diameter of the to be about 1.276×10^7m,compute the distance of the moon from the earth.

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Solution

Here parallactic angle,

Q = 1°54' = 114' =(114×60)"=114×60×4.85×10^-6 rad = 33174.32×10^-6 rad = 3.32×10^-2

b = AB = 1.276×10^7 m

So, the distance of the moon from the earth

S= b/Q = (1.276×10^7) ÷ (3.32×10^-2) = 0.38433 x 10^9 = 3.84×10^8 (ans)

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The moon is observed from two diametrically opposite points A and B on earth.The angle Q substended at the moon by the two directions of observation is 1°54'.Given the diameter of the to be about 1.276×10^7m,compute the distance of the moon from the earth.

Here parallactic angle, Q = 1°54' = 114' =(114×60)"=114×60×4.85×10^-6 rad = 33174.32×10^-6 rad = 3.32×10^-2 b = AB = 1.276×10^7 m So, the distance of the moon from the earth S= b/Q = (1.276×10^7) ÷ (3.32×10^-2) = 0.38433 x 10^9 = 3.84×10^8 (ans)

Here parallactic angle,

Q = 1°54' = 114' =(114×60)"=114×60×4.85×10^-6 rad = 33174.32×10^-6 rad = 3.32×10^-2

b = AB = 1.276×10^7 m

So, the distance of the moon from the earth

S= b/Q = (1.276×10^7) ÷ (3.32×10^-2) = 0.38433 x 10^9 = 3.84×10^8 (ans)