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Answer :
The star is approximately 2.537 × 10¹⁵ miles from Earth.
To find the distance from Earth to the star in miles, we can multiply the distance in light years by the conversion factor from light years to miles.
Given:
Distance to the star = 4.3 × 10² light years
Conversion factor: 1 light year = 5.9 × 10¹² miles
Distance in miles = Distance in light years × Conversion factor
Distance in miles = 4.3 × 10² light years × 5.9 × 10¹²miles/light year
Now, let's perform the multiplication:
Distance in miles = (4.3 × 5.9) × (10² × 10¹²) miles
Distance in miles = 25.37 × 10¹⁴ miles
To express this in scientific notation, we can rewrite it as:
Distance in miles = 2.537 × 10¹⁵ miles
So, the star is approximately 2.537 × 10¹⁵ miles from Earth.
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Final answer:
The star is approximately 2.537 x 10^15 miles away from Earth.
Explanation:
Light travels at a speed of 186,000 miles per second.
So, in one minute, light will travel 186,000 miles x 60 seconds = 11,160,000 miles. Similarly, in one hour, light will travel 11,160,000 miles x 60 minutes = 669,600,000 miles.
In one day, light will travel 669,600,000 miles x 24 hours = 16,070,400,000 miles.
Finally, in one year, light will travel 16,070,400,000 miles x 365 days = 5,865,696,000,000 miles.
Now, if a star is 4.3 x 10^2 light-years away from Earth, we can calculate the distance in miles by multiplying the number of light-years by the distance light travels in one year.
Thus, the distance in miles is 4.3 x 10^2 x 5.9 x 10^12 miles = 2.537 x 10^15 miles.
Therefore, the star is approximately 2.537 x 10^15 miles away from Earth.
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