Question

The moon is observed from two diametrically opposite points A and B on the Earth . The angle Ф subtended at the moon by the two directions of observation is 1.267â10â· m, compute the distance of the moon from the Earth.

Answer 1

~14×10^4 its the proper dinstence from earth to science

Answer 2

solution:

$d=1.276×10^7m$

$ϴ = 1°54' + ( \frac{54}{60})^°$

$ϴ = 1^° + 0.9^°$

$ϴ=1.9^°$

$ϴ = 1.9( \frac{\pi}{180}) = 0.03317 \: radian$

distance of the moon from the earth is

$D = \frac{d}{ϴ}$

$D = \frac{1.276 \times 10^7}{0.03317} = 38.47 \times 10^7m$

$\sf\colorbox{green}{hope \: it \: helps }$