Look up the slope of the room you enter. There is a giant boulder coming down it. Keep to the entrance of the area to avoid it or just watch where it is going. After it crashes into the wall, head up the slope.
Jump over the gap and head up the wall on the left. Just run on up the slope to the top. You will see boulders start to crumble and fall down. Head for the lips of rock to get some cover. Do not stop running for long. Head for the mine shaft that you can see ahead, at the top, on the right. This is your way out. Free run down the steps.