Height with a "th" sound is common in British English, in fact both are used. No idea where the Queen stands on the issue though, as I ain't posh. It's spelt "height" though. E.g. "He didn't have sufficient heig{th} to..."
Please don't protect the English language
Please don't protect the English language
blessed are those who have not seen and yet have believed.” – John 20:26-29