Question

16 of 25 a star has a parallax angle of 1/7 of one arcsecond. what is its distance? a 7 light years b 7 astronomical units c 7 parsecs d 0.14 parsecs

Explanation:

Step1: Recall the distance - parallax formula

The formula for the distance $d$ (in parsecs) of a star in terms of its parallax angle $p$ (in arc - seconds) is $d=\frac{1}{p}$.

Step2: Substitute the given parallax angle

Given $p = \frac{1}{7}$ arc - seconds. Substitute $p$ into the formula: $d=\frac{1}{\frac{1}{7}}$.

Step3: Calculate the distance

Using the rule of dividing by a fraction ($a\div\frac{b}{c}=a\times\frac{c}{b}$), we have $d = 7$ parsecs.

Answer:

C. 7 Parsecs