Answer:
12 years will it take for light from the star to reach Earth.
Step-by-step explanation:
As per the given statement: A certain star is 1.135 × 10^14 km away from Earth. If light travels at 9.4607 × 10^12 km per year.
⇒Speed of light travel = [tex]9.4607 \times 10^{12}[/tex] km per year
and Distance of a certain star from the Earth = [tex]1.135 \times 10^{14}[/tex] km
To find how long will it take for light from the star to reach Earth.
Using Formula:
[tex]\text{Speed} = \frac{\text{Distance}}{\text{Time}}[/tex]
or
[tex]\text{Time} = \frac{\text{Distance}}{\text{Speed}}[/tex]
Substitute the given values we have;;
[tex]\text{Time} = \frac{1.135 \times 10^{14}}{9.4607 \times 10^{12}}[/tex]
Simplify:
Time = 11.9969981 year ≈ 12 years
therefore, 12 years will it take for light from the star to reach Earth.