Animals:
A large amount of the water collects on the animals' skin surface will be absorbed through the skin. And some will vaporize into the atmosphere by the animals' body heat and the surrounding heat.
Plants:
Water evaporates from plants through a process called transpiration. Transpiration is the process by which moisture is carried through plants from roots to small pores on the underside of leaves, where it changes to vapor and is released to the atmosphere. Transpiration is essentially evaporation of water from plant leaves.