What are the two ways a person feels weightless?

The space and the Moon. others are some vaccums like rooms with no air. it can also be any place with no air!

1). float in a gigantic glass of water

2). fall with nothing holding you back against the acceleration of gravity. This can be arranged by flying a parabolic trajectory in the vomit comet, jumping out of a window or an airplane, or riding in a capsule anywhere in space without burning your engines or thrusters.