Resonating means to have a powerful or meaningful effect on someone or something. When you say something resonates with you, you mean that it makes you think or feel the same thing that the person or thing is feeling.
A billowy thing is fluffy or soft. A billowy dress is usually very comfortable to wear, because it's made of soft materials.
Empathizing is the ability to feel what another person feels. When you empathize with someone, you feel their feelings as if they are your own.
To precipice is to reach the edge of a cliff or a slope. If you're walking on a precipice, you're very likely to fall down.
To persuade someone is to try to get them to do something by using logic and reason. Persuasion can be used to get someone to change their mind, to do something that they might not want to do, or to do something that is against their own interests.
To wane is to decrease in amount, to lessen in strength or intensity. The moon is waning because it's getting smaller and less visible in the sky.
To detest something is to hate it very much. Some people might detest politicians, while others might detest the way the world is going.
To outlive something is to live longer than it. Sometimes people use the word to refer to someone who is going to survive a particular event or situation.