Capella is the 6th brightest star in the sky and is 41 light-years from earth. How many miles will light from Capella travel on its way to earth?

PLEASE EXPLAIN YOUR ANSWER THROUGHLY (i need to learn for a test)

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Answer:

  2.41×10^14 miles

Step-by-step explanation:

The distance usually associated with a light-year is about 6 trillion miles. More precisely, it is about 5.879×10^12 miles. Then 41 light-years is 41 times that distance, or ...

  41 light-years = 41(5.879×10^12 miles) ≈ 2.41×10^14 miles

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You can figure the length of a light-year from the speed of light and the length of a year. The speed of light is about 186,282.4 miles per second. The number of seconds in a day is 86,400, and the number of days in a year averages 365.2425. Multiplying these values gets you to 5.878664e12 miles per year. The number used above is reasonable for most purposes. At astronomical distances, it is difficult to measure precisely.

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