Lex: I've heard this speech before. My dad broke his leg seven hundred feet from the summit of Mount Ranier. He was like you. He wouldn't go back or let us stop. We reached the top and he opened a bottle of champagne. I had my first drink with my dad at 14,400 feet. On the way down, he developed a blood clot in his leg that traveled to his lung. He suffered for four hours before dying twenty minutes from the base.
Weyland: You think that's the last thing your dad remembers? The pain? Or drinking champagne with his daughter fourteen thousand feet in the air? I need this.
Many of the Lex and Weyland Sr. moments are rather heartwarming, it's like watching a father and daughter. Which makes what happens to Weyland later on all the more tragic.
While it may be tragic, the fact that Weyland is so protective of Lex and even tries to hold the Predators off to buy her time to escape, knowing that he'll be killed, is pretty touching.