In the context of sound waves, "amplitude" and "height" are often used interchangeably to refer to the same property. Both terms describe the magnitude or intensity of a sound wave and can be thought of as measures of its strength or loudness.
Amplitude specifically refers to the maximum displacement or variation of a sound wave from its equilibrium position. It represents the extent of compression or rarefaction in the air molecules as the sound wave passes through a medium. In simple terms, the greater the amplitude, the louder the sound.
The term "height" is sometimes used to describe the vertical extent of a graphical representation of a sound wave, such as an oscilloscope display. In this context, the height of the waveform corresponds to the amplitude of the sound wave.
To summarize, amplitude and height are essentially synonymous when discussing sound waves, both referring to the strength or intensity of the wave.