The distance, to the nearest tenth, is 314.9 light-years.
The given data is:
A recently discovered planet is located 1.85*10^5 miles from Earth.
Now we want to transform this distance to light-years.
Remember that a light-year is defined as "the distance that the light would travel in one year".
using the relation:
distance = speed*time
The speed of light is:
speed = 6.706*10^8 mi/h
And in one year has 8760 hours, then we have:
time = 8760 h
replacing these in the equation we get:
distance = speed*time
distance = (6.706*10^8 mi/h)*(8760 h) = 5,874,456,000,000 miles
Son one light-year is equivalent to 5,874,456,000,000 miles
1 light-year = 5,874,456,000,000 miles
So to transform a distance in miles to light-years, we just need to divide that distance by 5,874,456,000,000 miles:
The distance between the new planet and Earth was:
D = 1.85*10^15 mi = ( 1.85*10^15)/(5,874,456,000,000) = 314.9 light-years.
if you want to learn more about this, you can read:
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