Question

The moon subtends an angle of 57 minutes at two diametrically opposite points on earth. Calculate the distance of the moon from the earth

Answer 1

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