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Polaris (the North Star) is about [tex]4.07 \times 10^{15}[/tex] km from Earth. How far away is this in light years? (1 ly = [tex]9.468 \times 10^{12}[/tex] km)

A. [tex]4.3 \times 10^9[/tex] km
B. 430 light years
C. 4.30 light years

Answer :

Final answer:

The North Star, or Polaris, is approximately 430 light years away from Earth. This is calculated by dividing the distance from Earth to Polaris in kilometers (4.07 x 10^15 km) by the distance light can travel in one year (9.468 x 10^12 km/ily).

Explanation:

The distance between Earth and Polaris, the North Star, in light years can be calculated using the relationship between kilometers and light years. Given that 1 light year (ily) = 9.468x10^12 km, we can find the distance in light years by dividing the given distance in km by the distance covered by light in one year (1 ily). Hence, the distance of Polaris equals 4.07 x10^15 km / 9.468x10^12 km/ily = ~430 ily. So, the correct answer is b) 430 light years.

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