Question

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 63° above the horizontal. With this launch angle, a skier attains a height of 10.2 m above the end of the ramp. What is the skier's launch speed?

Determine the vertical speed necessary to get to ten meters high. Do that by finding the time to top first.
vericalspeedattop=vi - g time
solve for time in terms of vi, then
h= vi( time) - 1/2 g time^2
solve for vi