Usage patterns
〈人〉の背丈が伸びるfor someone's height to grow (get taller)
My child's height shot up a lot over the past year.
背丈ほどの〈物〉as tall as a person's height
Grass as tall as a person had grown in the garden.
背丈に合わせて〈動詞〉to adjust something to fit one's height
I had the clothes tailored to fit my height.