Sensible heat is the heat that causes change in temperature of a body.
On the other hand, latent heat is the heat that causes change of state (without causing change in temperature) of a body.
Consider water in a pan at 25°C. When you apply heat, its temperature increases. This heat is known as sensible heat.
Now consider hot water in a pan (in liquid state) at 100°C. When you apply heat, it changes its state into water vapour but remains at the same temperature (100°C). This type of heat is known as latent heat.