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 the diameter of the Earth to be about `1.276xx10^(7)` , compute the distance of the moon from the Earth.

Explanation

`theta=1^(@)54.=114., b1.276xx10^(7) m`
and `1.=2.91xx10^(-4) rad` [ from sum 1(b)]
`:. Theta=114xx2.91xx10^(-4)` rad
Now, direction `=(arc)/("radius")`
`theta=(b)/(D)`
`:.D=(b)/(theta)=(1.276xx10^(7))/(114xx2.91xx10^(-4))`
`:.D=0.003846xx10^(11)`
`:.D~~3.85xx10^(8)m`