The trees can be used to make more arrows, but there's also a part of the book that shows the importance of water and also that Katniss makes a bed for her in a tree:
<em>"There was a lake by the Cornucopia, and she’s worried it may be the only water source in the arena since it’s sure to be guarded by Career Tributes. Eventually it gets dark, so Katniss makes her bed in a tree and uses her belt to secure herself to a branch"</em>
Katniss uses the trees to get away, but she also gets in trouble for climbing a tree and having no escape route, since the people that were hunting for her see her climbing and decide to wait for her.
Fire is Katniss's symbol and is also a surviving tool. As in, you can use fire to cook and to get warmer, but it can also make you reveal your position because of the sound, fire, and smoke. Eventually, the gamemakers even throw fireballs at Katniss. Katniss also gets things from sponsors because of her fame as "the girl on fire".
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