Answer:
[tex]30.86\times 10^{13} km[/tex]
Explanation:
Given the parallex of the star is 0.1 sec.
The distance is inversely related with the parallex of the star. Mathematically,
[tex]d=\frac{1}{P}[/tex]
Here, d is the distance to a star which is measured in parsecs, and P is the parallex which is measured in arc seconds.
Now,
[tex]d=\frac{1}{0.1}\\d=10 parsec[/tex]
And also know that,
[tex]1 parsec=3.086\times 10^{13} km[/tex]
Therefore the distance of the star is [tex]30.86\times 10^{13} km[/tex] away.