This weekend challenge is about those crazy pirate ship rides they have at amusement parks. If you've never seen one of these in action, here's a video. They basically swing you around in a big circle.
Since there are so many ways to win a Math Guide these days, I'm not gonna go easy on you guys with the challenge questions. Just remember: Challenge questions are not SAT questions, they're just for me to have fun writing and you to suffer through solving. :)
Anyway, here we go.
Larry is seated at point L on a Pirate Ship ride that has not started moving yet, as shown. The measure of ∠ABC is 60º, and the distance between points A and C is 35 feet. With the ride at rest, the lowest point of the pirate ship is 5 feet above the ground, and Larry is 6 feet off the ground. Once the ride is in motion, how long is the arc Larry travels between the two points at which he is 40 feet off the ground? (Assume that the ship is a 60º arc.)
Put your answers in the comments. First correct (non-anonymous) answer gets a Math Guide!
UPDATE: wgreens got it! Nice work.
Solution below the cut