A star has a parallax of .05", its distance is Group of answer choices5 light years.20 parsecs.200 parsecs.660 light years.

1. Break Down the Problem

To find the distance to a star based on its parallax angle, we can use the formula: $d = \frac{1}{p}$ where:

• $d$ is the distance in parsecs
• $p$ is the parallax angle in arcseconds

2. Relevant Concepts

In this case, the provided parallax $p = 0.05$ arcseconds. We can now apply it in the distance formula to calculate the distance.

3. Analysis and Detail

Now, substituting the value of parallax into the formula:

$d = \frac{1}{0.05} = 20 \text{ parsecs}$

4. Verify and Summarize

The calculations confirm that the star's distance is indeed 20 parsecs. There are no other conversion issues since we are required to find the distance in parsecs.

Final Answer

The distance to the star is 20 parsecs.