Take the tram up to the breathtaking São Jorge Castle, then walk back on foot until you reach the river.
Tram number 28 is the most famous tram in Lisbon and riding it will give you a full tour of the city. Get out at the Santa Luzia viewpoint. From there, follow the road signs towards the São Jorge Castle (about a 550 meter walk), a structure that goes all the way back to the 12th Century, but which was completely rebuilt in the 20th century, giving us a peek at more ancient times. Once you’ve finished the tour and taken in the view, head down towards the river. No need for a map, just point yourself in the direction of the water in the horizon and walk.
São Jorge Castle: Rua de Santa Cruz do Castelo. Nov–Feb 9am–6pm, Mar–Oct 9am–9pm. 8,50€; Tram 28: 2,90€.