The Hörnli Hut is located a few kilometers south-west of Zermatt, in the German-speaking section of what canton of Switzerland?
Hörnli Hut: The Hörnli Hut (German: "Hörnlihütte") is a mountain hut located at the foot of the north-eastern ridge ("Hörnli Ridge") of the Matterhorn. Hörnli Hut:  It is situated at 3260 m above sea level, a few kilometers south-west of the town of Zermatt in the canton of Valais in Switzerland. Zermatt: Zermatt is a statistic town and a municipality in the district of Visp in the German-speaking section of the canton of Valais in Switzerland.
Valais