There are special mirrors on the moon, placed there by 3 different moon missions. Astronomers of all races and creeds from all countries on earth use these mirrors to bounce light off of, to measure the exact distance of the moon from the earth, and to test other things.

If this is a conspiracy, then the hundreds of professional observatories around the world, each utilized by hundreds of completely different and non-American astronomers over their lifetimes, are all, 100%, in on the "conspiracy".

Go ahead, google it.