A $$5\ \text{m}$$ long ladder is placed against a wall. The foot of the ladder is $$3\ \text{m}$$ away from the base of the wall. How far up the wall does the top of the ladder reach?

A

$$2.5\ \text{m}$$

B

$$4\ \text{m}$$

C

$$3\ \text{m}$$

D

$$5\ \text{m}$$