You focus some of your chakra to your feet, which will let you live, but you may not be able to climb the tree.
From Create Your Own Story
Some of your Chakra has been focused to your legs. In math logic a.k.a. Sakura's class, before you focused your chakra to your legs, it already had 25% of chakra in it. When you focused chakra to your feet, 50% is added making it 75% chakra in your legs right now. So you practice climbing. You're nearly there when, you fall and die.