From these happy Hikers:  "We are on a hiking roll. This one absolutely fabulous! And

steeeeep!!!!

The Mountain in question is Giant Mountain,  the twelfth highest peak in the High Peaks, also known as "Giant of the Valley," due to its stature looking over Keene Valley and St. Huberts to the west. The prominent rock slides on the mountain's steep western face and its location away from most other large peaks make it quite an imposing figure, leading to its name. 

The Lake Placid Office of Regional Sustainable Tourism has a guide to the climb here. They caution to consult a hiking guide book and even consider hiring a mountain guide.