On Average , How Far Does Shower Steam Travel In Distance?

I had my bedroom door open , my bathroom is the next room over beside it. The water heater closet is in between the two rooms. I had my bedroom door open , went into the bathroom where a shower was taken recently where steam was still emitting & clouding up the bathroom. I am wondering with the bathroom door open & the steam still circulating into the air , how far steam travels before it dissipates. I have CD's in the bedroom right around the corner from where the bedroom door opens. They are high up on a shelf , but I know that heat & steam rises so this is why I worry. I am just wondering how far on average does steam travel into the air before it becomes the existing surrounding air & no longer is steam. Please help me understand. I am just worried about my CD's. I know that steam is a bi-product of sorts of water & you're not supposed to get CD's wet or expose them to any kind of water. I'll be watching for my answer here constantly all day. Please answer soon I don't know what category "steam in a shower" would be titled under so I am guessing it should be asked herein the Science category. Sorry if it's the wrong category , but I hope you can answer it for me anyways. Thank you.