The 1994 Winter Olympics included the aerials competition in skiing. In this event skiers speed down a ramp that slopes sharply upward at the end. The sharp upward slope launches them into the air, where they perform acrobatic maneuvers. In the women's competition, the end of a typical launch ramp is directed 64° above the horizontal. With this launch angle, a skier attains a height of 11 m above the end of the ramp. What is the skier's launch speed?