Lucy is on a Ferris wheel that has 32 carts. The Ferris wheel slowly turns clockwise to lead each rider.Cart by cart, people get on the ride from the lowest point of the wheel, which is 8 feet from the ground. from the ground to the top of the wheel is 100 feet. before any one gets on the ride, Lucy is waiting in line as the 21st person in line.once everyone is loaded, the ride starts. Turning clockwise , the Ferris wheel goes through 1 revolution in 3min, and a complete ride lasts 2 revolutions.

Once ride is fully loaded , where is Lucy? find Lucy’s exact initial radian angle in standard position. show all work.