Question

The diagram below shows the location of three stars in space.Three stars in space, Star 1 is on the far left, Star 2 is to it's right, Star 3 is to the left of Star 2, the distance between Star 2 and Star 3 is little further than the distance between Star 1 and Star 2.Star 3 is 138 light years away from Star 1 and 75 light years away from Star 2. Which of these conclusions about the stars is correct? (2 points)Group of answer choicesStar 2 is 213 miles away from Star 3.Star 2 is 63 kilometers away from Star 3.The light from Star 2 reaches Star 1 in 63 years.The light from Star 2 reaches Star 1 in 213 years.

Answer 1

(c) Light from star 2 reaches star 1 in 63 years

Step-by-step explanation:

You want to know the correct conclusion given three stars lie in a line and the distances from Star 3 to Star 2 and Star 1 are 138 light years and 75 light years, respectively. Star 2 is closer to Star 1 than to Star 3.

Geometry

The way the question and answer choices are written suggests the sum of distances between 1 and 2 and between 2 and 3 is the distance between 1 and 3. That is, the distance between Star 1 and Star 2 is ...

1 to 2 = (1 to 3) - (2 to 3) = 138 ly - 75 ly = 63 ly

The light from Star 2 reaches Star 1 in 63 years.

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Additional comment

Units of miles and kilometers are irrelevant when it comes to distances between stars. Since 2 is closer to 1 than to 3, it means the distance from 1 to 2 cannot be greater than 75 ly, so cannot be 213 light years.