Question

6-4 Homework G

6.4.4
Question Help
A certain star is 4.2 x 102 light years from the Earth. One light year is about 5.9 x 1012 miles. How far from the earth (in miles) is the star?

Answer 1

Answer: Distance of earth from star =
`24.78*10^(14)\text{ miles}`

Explanation:

Given: A certain star is
`4.2 * 10^2` light years from the Earth.

One light year is about
`5.9 * 10^(12)` miles.

Distance of earth from star =
`4.2*10^2* 5.9*10^(12)`

`=4.2*5.9*10^2*10^(12)\text{ miles}\\\\=24.78*10^(2+12)\text{ miles}\\\\=24.78*10^(14)\text{ miles}`

Hence, Distance of earth from star =
`24.78*10^(14)\text{ miles}`