Final answer:
The star is approximately 1.593 x 10^15 miles away from the Earth.
Step-by-step explanation:
To calculate the distance from the Earth to the star in miles, we need to first determine the distance in light-years, and then convert that to miles. One light-year is the distance that light travels in one year, which is about 5.9 x 1012 miles. If the star is 2.7 x 102 light-years away, then the distance in miles is calculated by multiplying the number of light-years by the distance in miles per light-year:
2.7 x 102 light-years x 5.9 x 1012 miles per light-year = 1.593 x 1015 miles