When elements in a scene are relatively far away, depth of field is irrelevant. In other words, everything will be sharp and in focus at any lens aperture. There is no need to close the lens down to a small aperture such as f/16 or f/22. All you are doing is decreasing the light entering the camera. For a situation like this expansive view of Bryce Canyon in Utah, the optimal lens aperture is f/5.6 or f/8, the sharpest apertures on a lens.
My camera settings for this picture were 1/250, f/8, and 200 ISO. Even though I always recommend a tripod for landscape work, in this case one wasn't needed simply because the shutter speed was fast enough to get a sharp picture with the 105mm focal length I was using. However, if there were a bush in the foreground a few feet from the camera and I wanted it to be sharp along with the background, then f/32 would be needed. That would mean a slower shutter was necessary, and that would require the use of a tripod.