After we visited the Aquarium, long prior to the arrival of Typhoon Kaemi, we went to Kenting National Park which is the oldest and southernmost park in Taiwan. The northern section of the park has large mountains:
Due to time constraints, we only visited the southern section which hosts a few short trails and a lighthouse. On the way to the lighthouse you can find some really interesting rock formations, this one looks like a face:
The Eluanbi (鵝鑾鼻) Lighthouse was built in 1888 during the Qing Dynasty by an English architect. Due to raids by local tribes, this was the only armed lighthouse in the world [source]:
We spent most of the typhoon in Nantou, where all we really saw was light rain here and there, nothing like the force that eastern and southern Taiwan were hit with.