Question

'The parallax angle in radians is: $\theta =(1+\frac{54}{60})\times \frac{\pi }{180}=0.03316rad$
Hence, the distance between moon and earth:

• A. $\frac{\text{Diameter of Earth}}{\theta }$
• B. $\frac{1.276\times {10}^{7}m}{0.03316}$
• C. $3.84\times {10}^{8}m$
• D. nnone of these

Answer 1

Answer: (C)

$3.84\times {10}^{8}m$

Given,

$\theta =0.03316rad$

Also $b=AB=$ diameter of earth $=1.276\times {10}^{7}m$

Now d $=\frac{b}{\theta }=\frac{1.276\times {10}^7}{0.03316}=3.84\times {10}^8\text{m}$

Hence, distance between earth and moon is $3.84\times {10}^8\text{m}$