The Shady Lady, also called Bucida buceras, is the statement tree to have these days. It is taller indoor plants and fiddle-leaf figs. The huge Black Olive Tree is usually found in gardens and backyards, where it can grow up to 30 feet tall. However, shortened versions of the tree are 10 to 20 feet tall and make for an interesting houseplant that doesn't just sit on a bookshelf.