Why does the earth not lose its heat as quickly at night as the moon does?

The Earth does not lose its heat at night as quickly as the moon because the Earth has an atmosphere. If you don't know what the word atmosphere means, another way of thinking about it is a blanket around the Earth; a blanket that we can see through.

The sun's parallax would be 180 degrees, greater than which you can't get.  so a. would be your anwser