Question

the moon is observed from two diametrically extremes a and b on earth the angles of parallax is found to be 1°54' if the diameter of the earth is about 1 276×10^7m estimate the distance of the moon from the earth.

Answer 1

HERE'S YOUR ANSWER !

STEP BY STEP :

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

:)

Answer 2

Answer:

3.866

Explanation:

explanation for the answer is in the attachment

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