You're looking at the view from the highest point in Texas, the view from Guadalupe Peak in Guadalupe Mountains National Park. Here's what the park's website says about the hike:
"On a clear day, the view from the "Top of Texas" (8,749 feet, or 2,667 meters) is outstanding. The trail is very steep, but is well established. Some areas are exposed to cliff edges. It is rated strenuous, with 3,000 feet of elevation gain. The round trip distance is 8.4 miles, and generally takes 6-8 hours. Avoid the peak hike during high winds and thunderstorms."
Here's a link to the park's guide for Guadalupe Peak Trail. For more regional hiking information, visit: www.texasmountaintrail.com/hike