Question

the moon is observed from two diametrically opposite point x and y on the earth the angle sustanded by the moon by two direction of observation is 2°18' given the diameter of the earth to be 1.852 ×10power7m compute the distance of the moon from the earth
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Answer 1

Answer:

The moon is observed from 2 diametrically extremes A and B 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.

Explanation:

Answer 2

✪GIVEN:-

》The moon is observed from two diametrically opposite point x and y on the earth the angle substanded by the moon by two direction of observation is 1°54'and the diameter of the earth to be 1.852 ×10power7m.

✪REQUIRED TO FIND: -

》Distance of moon from earth.

✪SOLUTION: -

》 ϕ = 1°54′ = 114′

》 =(114×60)" =114×60×4.85×10−6rad

》 =3.32×10−2rad

》 b = AB = 1.276×107m 

=> So,the distance of the moon from the earth,

》 S=ϕB

=3.32×10−21.276×107

=3.84×108.

Hence, the ans is,

》 3.84×108

HOPE IT HELPS :)