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The Venus is observed from two points P ...

The Venus is observed from two points P and Q on the earth which are diametrically opposite. The angle subtended at Venus by two directions of observation is `2^@(54)'`. The diameter of earth is `1.27xx10^(7)m`. Calculate the distance of Venus from the earth.

Text Solution

Verified by Experts

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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