Question

The moon is observed from
two diametrically opposite points A and B on Earth. The angle θ 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 10 m,compute the distance of the moon from the Earth.​

Answer 1

Answer:

The moon is observed from two diametrically opposite points A and B on Earth. The angle θ subtended at the moon by the two direction of observation is 1∘54′. Given the diameter of earth to be about 1.276×107 m, compute the distance of the moon from the

ANSWER:

ϕ=1°54′=114′=(114×60)"=114×60×4.85×10−6rad=3.32×10−2rad

ϕ=1°54′=114′=(114×60)"=114×60×4.85×10−6rad=3.32×10−2radBasis,b=AB=1.276×107m 

ϕ=1°54′=114′=(114×60)"=114×60×4.85×10−6rad=3.32×10−2radBasis,b=AB=1.276×107m So,the distance of the moon from the earth,

ϕ=1°54′=114′=(114×60)"=114×60×4.85×10−6rad=3.32×10−2radBasis,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