Question

Sirius, the brightest star in the sky, is 2.6 parsecs (8.6 light-years) from Earth, giving it a parallax of 0.379 arcseconds. Another bright star, Regulus , has a parallax of 0.042 arcseconds. What is its distance in parsecs

Answer 1

Answer: Sirius, the brightest star in the sky, is 2.6 parsecs (8.6 light-years) from Earth, giving it a parallax of 0.379 arcseconds. Another bright star, Regulus, has a parallax of 0.042 arcseconds. Then, the distance in parsecs will be,23.46.

Explanation: To find the answer, we have to know more about the relation between the distance in parsecs and the parallax.

What is the relation between the distance in parsecs and the parallax?

• Let's consider a star in the sky, is d parsec distance from the earth, and which has some parallax of P amount.
• Then, the equation connecting parallax and the distance in parsec can be written as,

                                     $d=\frac{1}{P}$

• We can say that,

                                    $dP=constant.\\thus,\\d_1P_1=d_2P_2$

How to solve the problem?

• We have given that,

                                     $d_1=2.6 parsecs.\\P_1=0.379arcseconds.\\P_2=0.042 arcseconds.\\d_2=?$

• Thus, we can find the distance in parsecs as,

                                     $d_2=\frac{d_1P_1}{P_2} =23.46 parsecs$

Thus, we can conclude that, the distance in parsecs will be, 23.46.

Learn more about the relation connecting distance in parsecs and the parallax here: https://brainly.com/question/28044776

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