How can I dynamically switch between standard and RTL CSS

New to GWT. Followed the tutorial (StockWatcher) through the Internationalization section and applied the same to an RTL language.
The strings and messages were in the correct language, but the page orientation remained LTR until I changed the CSS file in the projects GWT.xml file (e.g. from 'Standard.css' to 'StandardRTL.css'), reloaded the page and now the table columns and other elements are laid correctly RTL.

If I were to offer a language selection control on the page itself and one of the options is an RTL language, I would need a way to reload the page with a matching css (i.e. Standard.css for LTR languages and StandardRTL.css for RTL languages).

How can this be done in GWT?

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