Before electricity, nights in towns and fields were often times pitch black, except when there was a full moon. How many times brighter is the noonday sun than the full moon when the moon is at the closest point to the earth?
Model the moon as a sphere of radius 1,000 miles (1,600 km), at distance 250,000 miles (400,000 km) from the Earth, and suppose that it reflects 15% of the light that it receives.