A light-year is a unit used to measure large distances in space. One light-year is approximately equal to 5.88 trillion miles. On a map of the Milky Way Galaxy, the scale is 1 inch:70 light-years. If two stars on the map are 19 inches apart, about how far apart are they in the galaxy?

Respuesta :

Answer:

[tex]7.8204\times 10^{15}\ \text{miles}[/tex]

Step-by-step explanation:

In the map the scale is

[tex]1\ \text{inch}=70\ \text{light-years}[/tex]

So

[tex]19\ \text{inches}=19\times 70=1330\ \text{light-years}[/tex]

In miles

[tex]1\ \text{light-year}=5.88\times 10^{12}\ \text{mi}[/tex]

[tex]1330\ \text{light-years}=1330\times 5.88\times 10^{12}=7.8204\times 10^{15}\ \text{miles}[/tex]

The galaxies are [tex]7.8204\times 10^{15}\ \text{miles}[/tex] apart.