Answer: 384,300,000 m
Explanation:
Speed [tex]S[/tex] is mathematically expressed as:
[tex]S=\frac{d}{t}[/tex]
Where:
[tex]S=c=3(10)^{8} m/s[/tex] is the speed of light
[tex]d[/tex] is the distance traveled
[tex]t=\frac{2.562 s}{2}=1.281 s[/tex] since [tex]2.562 s[/tex] is the time it takes to the pulse to go the moon and return.
Finding [tex]d[/tex]:
[tex]d=c t[/tex]
[tex]d=(3(10)^{8} m/s)(1.281 s)[/tex]
Finally:
[tex]d=384,300,000 m[/tex]