What is the relationship between height of wave and an amplitude?

The height of a wave is typically measured as the vertical distance between the highest point of the wave (peak) and the lowest point (trough). Amplitude, on the other hand, refers to the maximum displacement of a particle from its equilibrium position in a wave. In general, the amplitude of a wave correlates with its height, as a higher amplitude wave will have greater variation in particle displacement and thus a taller wave height.