Question

As measured by mission control, how far away is the distant star?

Answer 1

Measuring the distance to distant stars is a complex task that involves the use of triangulation and the parallax method. Distances are measured in light-years and parsecs, with the closest star being over 1 parsec away. These measurements have a certain percentage of error.

Step-by-step explanation:

Measuring the distance to distant stars is a complex task.

One method used is triangulation, also known as the parallax method. Astronomers use the Earth's annual motion around the Sun to create a baseline and measure the shift in a star's position relative to distant background stars.

This shift, called parallax, can be used to calculate the distance of the star.

Distances to stars are measured in units like light-years and parsecs. A light-year is the distance light travels in one year, and a parsec is the distance of a star with a parallax of 1 arcsecond (1 parsec = 3.26 light-years).

The closest star to us, a red dwarf, is over 1 parsec away.

It's important to note that the methods we use to measure these distances have a certain percentage of error.

This means that the distance measurements are accurate only within a certain range of uncertainty.

Answer 2

Data is missing but assuming the values:
Equation is as follows:
(1-β^2) = 10/150
β =v/C = 0.99
v = 0.99 C

As,
Distance = Velocity * Time
So,
1st Distance= 0.99 C* time = 0.99 C*150 years = 148.5 light years
2nd Distance = 0.99 C* time = 0.99 C*10 years = 9.9 light years