Question

1.3
r=* = 6400 x 2 x 60 x 180/18 = 4.4 x 10 km
The moon is observed from two diametrically opposite points A and B on earth. The angle
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
rad​

Answer 1

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Your Answer:

Here, θ=1∘54′=114′=114×60′′

As 1′′=4.85×10-6radian,

∴Θ=114×60×4.85×10-6rad

=3.32×10-2rad

Diameter of earth, I=1.276×107m,

earth - moon distance, r =?

AsI=rθ

∴r=

I

θ

 

=

1.276×107

3.32×10-2

 

=3.84×108m