Your inquiry, Rocky G., was "Can I use what's your height?"
"What is your height OR How tall are you? Hello, Are they both correct? They are both correct. It's just that "what is your height" sounds like a question asked by someone who is filling out a form with your information."
Yes, I would normally use "how tall are you?" But, both ways of inquiring in English will facilitate you getting the information that you seek. Isn't that the objective of asking?