Answer:
[tex]9.45\cdot 10^{17}m[/tex]
Explanation:
Radio waves are electromagnetic waves.
Electromagnetic waves travel in a vacuum at the speed of light, which is:
[tex]c=3.0\cdot 10^8 m/s[/tex]
Therefore, the distance they cover in a time t is
[tex]d=ct[/tex]
where d is the distance covered.
In this problem, the time elapsed is
t = 100 y
Keeping in mind that
[tex]1y=365 d\cdot 24 h \cdot 60 m \cdot 60 s =3.15\cdot 10^7 s[/tex]
So the time elapsed in seconds is
[tex]t=(100)(3.15\cdot 10^7)=3.15\cdot 10^9 s[/tex]
And therefore, the distance covered by the radio waves in this time is
[tex]d=(3\cdot 10^8)(3.15\cdot 10^9)=9.45\cdot 10^{17}m[/tex]
