One of the best vantage points of the Eiffel Tower can be found from the Trocadéro Gardens (Jardins du Trocadéro), a public park directly on the other side of the Seine. Simply walk across the Pont d'Iéna, and enjoy photo ops of the tower, perhaps with the gardens' fountains in the foreground. A stop at Trocadéro is part of a number of Paris sightseeing tours.
Relax your legs before or after climbing the Eiffel Tower with a leisurely boat ride on the Seine. You can admire Paris' other waterfront landmarks, such as the Notre-Dame Cathedral or the Louvre, at nearly any time of day, as morning, lunch, dinner, and night cruises are available. Tour boats depart at various locations along the Seine, one of which is located at the Eiffel Tower.
Just east of the Eiffel Tower sits Les Invalides, a collection of museums and other attractions that relate to the military history of France, most notably the tomb of Napoleon Bonaparte. From Champ de Mars, walk along Rue de Grenelle or Avenue de Tourville to reach Les Invalides for an independent visit (you can't miss the large gold dome), or opt for a bike tour or night tour that includes the site.
For a look at the sculptures of French artist Auguste Rodin, check out his eponymous museum, located in an 18th-century mansion just on the other side of Les Invalides from the Eiffel Tower. In addition to Rodin's famous pieces such as The Thinker, the museum is home to paintings by the likes of Monet, Renoir, and Van Gogh. Visit with a Paris sightseeing pass, or opt for a private tour.