A star that has a parallax of 0.047 arcseconds is 69.38 light years away from the Earth.
The distance of a star with parallax 0.047 seconds is determined by finding the distance of 1 parsec.
For a star that has a parallax of 0.047 arcseconds, the light-years away from the earth can be computed by using the formula:
[tex]\mathbf{Parsec = \dfrac{1}{arcsecond}}[/tex]
[tex]\mathbf{Parsec = \dfrac{1}{0.047}}[/tex]
[tex]\mathbf{Parsec =21.28 }[/tex]
Recall that:
Thus;
21.28 Parsec = (21.28 × 3.26) Light years
= 69.38 light years
Learn more about calculating the distance of the star here:
https://brainly.com/question/3241857
#SPJ1