Sketch the structure of the nitrogen-containing product that is formed when ethylamine reacts with water

First of all the ethylamine is base so will be react with water to take the proton from the water (H⁺) , because water is amphoteric will react with bases as acid and acids as a base, so the water in this case will react as an acid and will gives the proton to the base.

In the picture you may see the chemical equation and the structure of the products.