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 that the diameter of the earth to be about 1.276×107m. Compute the distance of the moon from the earth.

Q. 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 that the diameter of the earth to be about 1.276×107m. Compute the distance of the moon from the earth.

1. 4.5x 10⁹ m
2. 3.83 x10⁸ m
3. 2.5 x 10⁴ m
4. 4 x10⁷ m

Answer: 3.83 x108 m