**Core Concept**
The peak stage in height growth corresponds to the pubertal growth spurt, which is a critical period of rapid growth and development in adolescence. This growth spurt is influenced by the increase in sex hormones, particularly estrogen in females and testosterone in males.

**Why the Correct Answer is Right**
During puberty, the growth hormone (GH) stimulates the epiphyseal plates to grow, leading to an increase in height. This growth spurt is accompanied by the development of secondary sexual characteristics, including the growth of pubic hair. The peak stage of pubic hair growth, which is stage III or IV of pubic hair development, corresponds to the peak stage of height growth. This is because the increase in sex hormones during puberty stimulates the growth of pubic hair and the growth plates in the bones.

**Why Each Wrong Option is Incorrect**
* **Option B:** This option is incorrect because the early stages of pubic hair growth (stages I and II) do not correspond to the peak stage of height growth.
* **Option C:** This option is incorrect because the late stages of pubic hair growth (stages V and VI) occur after the peak stage of height growth.
* **Option D:** This option is incorrect because it does not specify a particular stage of pubic hair growth.

**Clinical Pearl / High-Yield Fact**
It's essential to note that the timing of the peak stage of height growth and pubic hair growth can vary among individuals, but generally, they occur within a few years of each other.

**Correct Answer:** C.