Homework Help is Here – Start Your Trial Now!
Math
Algebra
The Colossus Ferris wheel debuted at the 1984 New Orleans World's Fair. The ride is 180 ft tall, and passengers board the ride at an initial height of 15 ft above the ground. The height above ground, h, of a passenger on the ride is a periodic function of time, t. The graph displays the height above ground of the last passenger to board over the course of the 15 min ride. Height of Passenger in Ferris Wheel 180 160 140 120 - 100 80 - 60 40 20 1. 2. 4. 6. 7 10 11 12 13 14 15 Time of operation, t (min) Sine function model: h = -82.5 cos 3r(t) + 97.5 where h is the height of the passenger above the ground measured in feet and t is the time of operation of the ride in minutes. Height, h (f)

The Colossus Ferris wheel debuted at the 1984 New Orleans World's Fair. The ride is 180 ft tall, and passengers board the ride at an initial height of 15 ft above the ground. The height above ground, h, of a passenger on the ride is a periodic function of time, t. The graph displays the height above ground of the last passenger to board over the course of the 15 min ride. Height of Passenger in Ferris Wheel 180 160 140 120 - 100 80 - 60 40 20 1. 2. 4. 6. 7 10 11 12 13 14 15 Time of operation, t (min) Sine function model: h = -82.5 cos 3r(t) + 97.5 where h is the height of the passenger above the ground measured in feet and t is the time of operation of the ride in minutes. Height, h (f)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.5: Trigonometric Graphs
Problem 47E
See similar textbooks
icon
Related questions
Question

( refer to image for graph)


The duration of the ride is 15 min. 

(a) How many times does the last passenger who boarded the ride make a complete loop on the Ferris wheel? 

(b) What is the position of that passenger when the ride ends?

The Colossus Ferris wheel debuted at the 1984 New Orleans World's Fair. The ride is 180 ft tall, and passengers board the ride at an initial height of 15 ft above the ground. The height above ground, h, of a passenger on the ride is a periodic function of time, t. The graph displays the height above ground of the last passenger to board over the course of the 15 min ride. Height of Passenger in Ferris Wheel 180 160 140 120 100 80 60 40 - 20 3 4 6. 7. 8. 10 11 12 13 14 15 Time of operation, t (min) Sine function model: h = -82.5 cos 3n(t)+ 97.5 where h is the height of the passenger above the ground measured in feet and t is the time of operation of the ride in minutes. Height, h (f)
Transcribed Image Text:The Colossus Ferris wheel debuted at the 1984 New Orleans World's Fair. The ride is 180 ft tall, and passengers board the ride at an initial height of 15 ft above the ground. The height above ground, h, of a passenger on the ride is a periodic function of time, t. The graph displays the height above ground of the last passenger to board over the course of the 15 min ride. Height of Passenger in Ferris Wheel 180 160 140 120 100 80 60 40 - 20 3 4 6. 7. 8. 10 11 12 13 14 15 Time of operation, t (min) Sine function model: h = -82.5 cos 3n(t)+ 97.5 where h is the height of the passenger above the ground measured in feet and t is the time of operation of the ride in minutes. Height, h (f)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Reflections
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS