3. When riding the London Eye (Very large Ferris Wheel with pods), a person's height over time can be determined. The London Eye is 443 ft tall and the wheel has a diameter of 394 feet. One revolution takes 20 minutes. a) Determine a sinusoidal equation to model this scenario using the values of a, k, d & c. b) How high are you after 11 min? c) At what height above the ground (minimum height) do you get onto the Ferris Wheel? d) Use this equation to find out how long the rider will be 400 ft or higher above the ground in one revolution. = 443 = 221.5 ft 42 P=20min K=* do start pt - 20 mins (Complete on revolute) ince cosine starts at max: when t=o do- no phase Shift + 14 =2=27π Чт 20 C=O person starts at bottom 25 in (1x1) +443 (t) = 221-5 cos (1/10t

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 38E
Question
3. When riding the London Eye (Very large Ferris Wheel with pods), a person's height over time
can be determined. The London Eye is 443 ft tall and the wheel has a diameter of 394 feet. One
revolution takes 20 minutes.
a) Determine a sinusoidal equation to model this scenario using the values of a, k, d & c.
b) How high are you after 11 min?
c) At what height above the ground (minimum height) do you get onto the Ferris Wheel?
d) Use this equation to find out how long the rider will be 400 ft or higher above the ground
in one revolution.
= 443
= 221.5 ft
42
P=20min
K=*
do start pt
- 20 mins (Complete on revolute)
ince cosine starts at max: when t=o do- no phase Shift + 14
=2=27π
Чт
20
C=O person starts at bottom
25 in (1x1) +443
(t) = 221-5 cos (1/10t
Transcribed Image Text:3. When riding the London Eye (Very large Ferris Wheel with pods), a person's height over time can be determined. The London Eye is 443 ft tall and the wheel has a diameter of 394 feet. One revolution takes 20 minutes. a) Determine a sinusoidal equation to model this scenario using the values of a, k, d & c. b) How high are you after 11 min? c) At what height above the ground (minimum height) do you get onto the Ferris Wheel? d) Use this equation to find out how long the rider will be 400 ft or higher above the ground in one revolution. = 443 = 221.5 ft 42 P=20min K=* do start pt - 20 mins (Complete on revolute) ince cosine starts at max: when t=o do- no phase Shift + 14 =2=27π Чт 20 C=O person starts at bottom 25 in (1x1) +443 (t) = 221-5 cos (1/10t
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