Brazil
You can take a cab or just walk into the forest in Horto to get away from the city for a while. Within minutes you see monkeys and waterfalls, and are surrounded by serene and peaceful forest.
You can take Pacheco Leão up into the forest from Jardim Botanico. I didn't have a car when I was in Rio, and this is convenient to get to by public transport or on foot. From Leblon or Ipamena you can take the Horto bus straight there.
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