Answer : Geela away is [tex]33.22\times 10^{15}\text{ miles}[/tex]
Explanation :
As we are given that the alien tells you that it has traveled here from the planet Geela which is 5.670 × 10³ light years away.
And we know that:
[tex]1.06\times 10^{-16}\text{ light years}=6.21\times 10^{-4}\text{ miles}[/tex]
Now we have to determine the distance away is Geela.
As, [tex]1.06\times 10^{-16}\text{ light years}=6.21\times 10^{-4}\text{ miles}[/tex]
So, [tex]5.670\times 10^{3}\text{ light years}=\frac{5.670\times 10^{3}\text{ light years}}{1.06\times 10^{-16}\text{ light years}}\times 6.21\times 10^{-4}\text{ miles}[/tex]
= [tex]33.22\times 10^{15}\text{ miles}[/tex]
Therefore, the Geela away is [tex]33.22\times 10^{15}\text{ miles}[/tex]