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The moon is observed from two points P a...

The moon is observed from two points P and Q on the earth which are diametrically opposite. The angle subtended at moon by two directions of observation is `1@(54)'`. The diameter of earth is `1.27xx10^(7)m`. Calcualte the distance of moon from the earth.

Text Solution

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We are given
`Q=2^(@)54.=174.=(174xx60)..=174xx60xx4.85xx10^(-6)` rad
`=5.06xx10^(-2)` rad
and `b=1.276xx10^(7)m`
Using the realtion `D=(b)/(theta)=(1.276xx10^(7))/(5.06xx10^(-2))`. Or `D=2.5xx10^(8)m`
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