Question

the moon is at a distance of 3.84 x 10 8m from the earth. If viewed from two diametrically opposite points on the earth,the angle subtended by the moon is 1degree 24minutes then what is the diameter of the earth?

Answer 1

Answer:

Here parallactic angle, ø=1°54'=114'=(114×60)"=114×60×4.85×10^-6 rad = 3.32×10^-2 rad. Basis, b=AB=1.276×10^7 m.

So, the distance of the moon from the earth. S= b/ø =(1.276×10^7)÷(3.32×10-2)= 3.84×10^8.

Moreover, Moon is observed from diametrically opposite that is moving by two directions of observations that is respective to certain distance.

It should calculate the distance from the opposite points from A and B on the

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Answer 2

$\huge\star\underline\mathfrak\red{Answer:-}$

Solution:

Angle subtended

theta = 1° 54' = 114' = 114 × 2.19 × 10^-4 rad

= 3.317 × 10^-2 rad

Diameter of earth= theta × distance to the moon from the earth

= 3.317 ×10^-2 × 3.84×10^8 m

= 1.274× 10^7 m

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