intensity of a star is inversely depends on the square of the distance from the star
we can say it is given as
[tex]\frac{I_1}{I_2} = \frac{r_2^2}{r_1^2}[/tex]
here we know that
[tex]\frac{I_1}{I_2} = 36 times[/tex]
also we know that
[tex]r_1 = 10 Ly[/tex]
now we will have
[tex]\frac{I_1}{I_2} = \frac{r_2^2}{r_1^2}[/tex]
[tex]36 = \frac{r_2^2}{10^2}[/tex]
[tex]r_2 = 60 Ly[/tex]
so other star is at distance 60 Light years
