The moon is observed from two diametrically opposite points A and B on earth. The angle `theta` subtended at the moon by the two directions of observation is `1°54';` given that the diameter of the earth to be about `1.276xx10^7 m`. Compute the distance of the moon from the earth.
Options:
(a) `4.5 xx 10^9 m`
(b) `3.83 xx 10^8 m`
(c) `2.5 xx 10^4 m`
(d) `4 xx 10^7 m`