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A power outage occurs 6 min after the ride started. Passengers must wait for their cage to be manually cranked into the lowest position in order to exit the ride. Sine function model: h= 82.5 sin 3π ( t+ 0.5) + 97.5 where "h" is the height of the last passenger above the ground measured in feet and "t" is the time of operation of the ride in minutes. (a) What is the height of the last passenger at the moment of the power outage? Verify your answer by evaluating the sine function model. (b) Will the last passenger to board the ride need to wait in order to exit the ride? Explain

A power outage occurs 6 min after the ride started. Passengers must wait for their cage to be manually cranked into the lowest position in order to exit the ride. Sine function model: h= 82.5 sin 3π ( t+ 0.5) + 97.5 where "h" is the height of the last passenger above the ground measured in feet and "t" is the time of operation of the ride in minutes. (a) What is the height of the last passenger at the moment of the power outage? Verify your answer by evaluating the sine function model. (b) Will the last passenger to board the ride need to wait in order to exit the ride? Explain

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
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A power outage occurs 6 min after the ride started. Passengers must wait for their cage to be manually cranked into the lowest position in order to exit the ride. Sine function model: h= 82.5 sin 3π ( t+ 0.5) + 97.5 where "h" is the height of the last passenger above the ground measured in feet and "t" is the time of operation of the ride in minutes.


(a) What is the height of the last passenger at the moment of the power outage? Verify your answer by evaluating the sine function model.

(b) Will the last passenger to board the ride need to wait in order to exit the ride? Explain

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)
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