Corcovado statue

The Corcvoado statue is what the Fifth Doctor once called the statue of Christ in Rio de Janeiro. While visiting the statue in the 21st century with Turlough, he once happily obliged several tourists wishing to get their photos taken on the iconic monument. Though Turlough was perturbed with this apparent waste of time, the Doctor insisted that it was right to do so, since the tourists had travelled so far to see it. After all, the Doctor reasoned, it afforded the best view possible of Rio.

The Doctor further claimed that he had been in Rio in the 1700s, when the statue wasn't even built. (BFA: Loups-Garoux)

Behind the scenes
The proper, real world name of the monument is "Christ the Redeemer", but Loups-Garoux doesn't specify this. Instead the Doctor just calls it "Corcovado statue" or the "statue of Christ".