At a ski resort, skiers must take two lifts to reach the peak of the mountain. They travel 1200 m at an inclination of 52 to get a transfer point....

At a ski resort, skiers must take two lifts to reach the peak of the mountain. They travel 1200 m at an inclination of 52° to get a transfer point. They then travel 1600 m at an inclination of 58°. The ski resort plans on putting in one lift that will take the place of the two existing lifts. Determine the length of the new lift if it starts at the base of the mountain where the first lift started and stops at the peak of the mountain where the second lift stopped.