I dont know exactly how far, buy i can tell you it is not easy. Plenty of people expect it to be and are not prepared, just wearing, for example, jeans and tennis shoes. It will be quite steep and slippery. Wear the best footwear you can (simple crampons would great!)
1/4 mile easy wall to trail head. 1/2 mile up and down hills..think icey, to cave
my GPS got approx 1.2 miles each way.
1 & 1/2 miles from car to caves.
It is close to a one mile hike in to the ice caves and a one mile hike back to your car.
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