The distance between the moon and the earth is 384000 kilometers.
Given the data in the question;
Time taken for light to travel from the moon to earth; [tex]t = 1.28s[/tex]
Distance between the moon and earth; [tex]s =\ ?[/tex]
Speed is simply the distance traveled per unit of time. It is expressed as:
Speed = Distance ÷ Time
[tex]v = \frac{s}{t}[/tex]
We know that the value of speed of light [tex]c = 3*10^8m/s[/tex]
We substitute our values into the equation and solve for "s"
[tex](3*10^8m/s) = \frac{s}{1.28s}\\\\s = (3*10^8m/s) * 1.28s\\\\s = 384000000m\\\\s = 384000km[/tex]
Therefore, the distance between the moon and the earth is 384000 kilometers.
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