Looks like it would do the trick. Keep in mind the effective range of most all Bluetooth devices is only about 10 - 15 meters (line of sight, less if you're going through heavy brick walls or British Bike owners ) before the signal starts to decay and you end up with garbled junk.
The other consideration would be the ability of your Bluetooth speaker to decode the apt-x signal in order to get the low latency effect responses. If it cannot, then you'll get the dreaded delay in sound sync.
You could also take a pair of those old PC speakers that we all seem to have lying around, use their RCA jacks, 15 meters of speaker wire and get the stereo effect.