trig
posted by Yuika .
The ferris wheel in an amusement park. It has a diameter of 24m, and it takes 40s to make one complete revolution. If Peter gets on a gondola which is vertically below the centre of the ferris wheel, find his rise in the height after 5s.

I drew a circle, and a vertical radius of 12 m
In 40 s, it rotates 360°, so in 5 sec it rotated 45°
let the vertical position from the centre be y
cos45 = y/12
y = 8.485 m
so he is 128.85 or appr 3.5 m high after 5 seconds
Respond to this Question
Similar Questions

physics
A Ferris wheel at an amusement park having a diameter of 14 m completes one rotation in 45 s. (a) What is the rotational speed of this Ferris wheel in revolution per minute and in degrees per second? 
Honors Pre Calculus
Tony visits the local fair and sees one of the rides, the ferris wheel. The ferris wheel has a diameter of 50 feet and is on a platform of 4 feet. If it takes 12 seconds to make one full revolution, what is the equation of the height … 
math
At the amusement park, you decide to ride the Ferris wheel, which has a maximum height of 50 meters and a diameter of 35 meters. It takes the wheel three minutes to make one revolution. If you start your ride at the midline and the … 
math
At the amusement park, you decide to ride the Ferris wheel, which has a maxmum height of 80 meters and a diameter of 40 meters. It takes the wheel seven minutes to make one revolution. If you start your ride at the midline and the … 
Math
At the amusement park, you decide to ride the Ferris wheel, which has a maximum height of 50 meters and a diameter of 35 meters. It takes the wheel 5 minutes to make one revolution. If you start your ride at the midline and the ferris … 
Precalculus ????
1. At the amusement park, you decide to ride the Ferris wheel, which has a maximum height of 50 meters and a diameter of 35 meters. It takes the wheel three minutes to make one revolution. If you start your ride at the midline and … 
Trig application
I'm having trouble with this trig application. The scenario goes: A ferris wheel has a diameter of approximately 65 meters. Assume it takes 110 seconds for the ferris wheel to make one complete rotation. find the angular speed of the … 
Physics
A particular Ferris wheel takes you through one complete revolution every 25.3 seconds. If the radius of the Ferris wheel is 10.4 m, and your mass is 63.3 kg, calculate: (a) Your apparent weight, in N, when you are at the top of the … 
Math
At the amusement park, you decide to ride the Ferris wheel, which has a maximum height of 100 meters and a diameter of 50 meters. It takes the wheel seven minutes to make one revolution. If you start your ride at the midline and the … 
Math
Tony visits the local fair and sees one if therides, the ferris wheel. The ferris wheel has a diameter of 50 feet and is on a platform of 4 feet. if it takes 12 seconds to make one full revolution, what is the equation of the height …