Here's a breakdown:

* Amplitude: This is the vertical distance between the crest (highest point) of a wave and the rest position (the undisturbed level of the medium).

* Wave Height: This is the total vertical distance between the crest and the trough (lowest point) of a wave. Wave height is twice the amplitude.

So, while both terms relate to the vertical dimension of a wave, amplitude specifically refers to the distance from the rest position to the crest, while wave height refers to the total distance between the crest and trough.