The phrase "a normal height" is correct and usable in written English.
It can be used when describing someone or something that is of average or typical height compared to a standard or common measurement.
Example: "The door frame is designed for a normal height, making it accessible for most people."
Alternatives: "an average height" or "a typical height".
I took the first bed I saw, which was at a normal height.
Gutting and rebuilding the three-bedroom, four-storey house involved digging out the low basement to a normal height.
A doctor diagnosed a growth-hormone deficiency; if Messi wanted to grow to a normal height — and have any hope for a professional career — he would have to give himself daily injections.
It was straightforward and the ball bounced at a normal height.
It really is more comfortable to have the screen at a normal height, so you can avoid some neck problems.
The height of every story (column height) is taken equal to 3 m, as a normal height for residential buildings.
All of the subjects had a normal stature (mean height SDS ± SD 0.6 ± 0.9) and growth velocity for their age and gender, and none of them was obese (mean BMI SDS ± SD 0 ± 1).
When both parents are dwarves, their embryos have a 25percentt chance of normal height, a 50percentt chance of dwarfism, and a 25percentt chance of what is called a double dominant mutation, which is usually fatal soon after birth.
Like almost everywhere in Marrakech, you discover the delights of your hotel down a dusty backstreet and enter through a door half the normal height of a human being, leaving you nervous as to what you're going to find within.
A substantial number are too small for an adult of normal height to have been laid out in such a way and, judging from analogous Saxon graves found elsewhere in England, it is thought that these might have contained crouched burials.
Upon donning this mask, Link grows to nearly two-and-a-half times his normal height.
