8- Try Out Rock Climbing At Mount Lemmon. Driving to Mt Lemmon is one of the adventurous things to do from Tucson. Mount Lemmon is one of the highest summits in Arizona, with an elevation of 9159 feet (2791m). Located 43 miles (69 km) northeast from the heart of Tucson, a visit to Mount Lemmon is a favourite day trip for tourists and locals alike.