Question

Example 2.3 The moon is observed from
two diametrically opposite points A and B
on Earth. The angle o subtended at the
moon by the two directions of observation
is 1°54'. Given the diameter of the Earth to
be about 1.276 x 107 m, compute 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