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Redhorn Gate Pass and Moria
The Redhorn Gate Pass was to the south of Caradhas and the cliff wall beneath which they passed was to their left, with a deep ravine on their right. (The Ring Goes South; Bk 1). When they turned back, Gandalf led them south, not along the path by which they had come. (A Journey in the Dark; Bk1).
When they camped for the night (and were attacked by wolves) he told the Companions that the Moria Gate was 15 miles south-west of Caradhras as the crow flies.