Buttermilk Falls state park is located just outside Ithaca, NY. The park contains a chain of waterfalls hidden in a glen just upstream of Buttermilk falls (which can be viewed from the parking lot).

These include "Pinnacle Falls"

small-9056 by kayaker72, on Flickr

5DIII EF 16-35 f/4 IS @ 16 mm, 8 sec, f/8, ISO 100