MileCheckBinoculars for mountain views, and a way to hold them still
At 10x, a summit 60 miles off looks like it sits 6 miles away. The catch is holding 10x still by hand. Two binoculars below, and the adapter that fixes the shake.
If you want one pair that does it all
Vortex Diamondback HD 10x42
10x magnification with 42 mm lenses and a 330-foot field of view at 1,000 yards. About 21 ounces. Waterproof, and argon-purged so the lenses don't fog inside on a cold morning.
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If you want to spend less
Celestron Nature DX 10x42
The same 10x42 format for less. A 304-foot field of view at 1,000 yards, waterproof and nitrogen-purged. About 22 ounces.
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If the view shakes
Vortex Uni-Daptor tripod adapter
At 10x, small hand movements blur the summit. This adapter puts binoculars with a tripod socket on a tripod, and it releases quickly when you want them back in your hands. Check that your binoculars have a tripod socket before you order.
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Clear air matters more than glass
Haze, smoke and cloud hide a peak no matter what you look through. Check the visibility forecast before you go.