Question

From two diametrically opposite points A and B on earth, moon is observed. The angle β subtended at the moon by the two directions of observation is 1 degree 54'. If radius of earth is 0.638*10^7m,find the distance of the moon from the earth.

Answer 1

Answer:

ANSWER

ϕ=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=

ϕ

B

=

3.32×10

−2

1.276×10

7

=3.84×10

8