From when I took some AC courses, "sensible heat" is when you add or remove BTU, and it makes a temperature difference. For example, you heat or cool dry air. The temp goes up or down.
Latent heat is adding or removing BTU, which doesn't make a temperature change -- in other words, humidity. An example is running an AC which condenses out a lot of water, but doesn't change the temp. We'd call that "reducing latent heat".
Or, so it was explained to me.