Answer:
The distance to the moon is [tex]3.87*10^5km.[/tex]
Explanation:
Here the distance to the moon is half the distance traveled by light (the radar signal) in 2.58 seconds.
Since the speed of light is [tex]c= 3*10^8m/s[/tex], the distance [tex]d[/tex] traveled by light in 2.58s is
[tex]d= ct = (3*10^8m/s)(2.58s) \\\\d = 7.74*10^8m.[/tex]
Half of this distance is
[tex]\dfrac{d}{2} = 3.87*10^8m[/tex]
which in kilometers is
[tex]\boxed{3.87*10^5km}[/tex]
and it is this distance to the moon.
