Marsha is pushing her brother Bobby on a rope swing over a creek. When she starts the swing, he is 7 feet over land away from the edge of the creek. After 2 seconds, Bobby is 11 feet over the water past the edge of the creek. Assume that the distance from the edge of the creek varies sinusoidally with time and that the distance y is positive when Bobby is over the water and negative when he is over land. Write a trigonometric function that models the distance Bobby is from the edge of the creek at time t seconds.
Marsha is pushing her brother Bobby on a rope swing over a creek. When she starts the swing, he is 7 feet over land away from the edge of the creek. After 2 seconds, Bobby is 11 feet over the water past the edge of the creek. Assume that the distance from the edge of the creek varies sinusoidally with time and that the distance y is positive when Bobby is over the water and negative when he is over land. Write a trigonometric function that models the distance Bobby is from the edge of the creek at time t seconds.
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter2: Right Triangle Trigonometry
Section: Chapter Questions
Problem 5GP
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Marsha is pushing her brother Bobby on a rope swing over a creek. When she starts the swing,
he is 7 feet over land away from the edge of the creek. After 2 seconds, Bobby is 11 feet over the water past
the edge of the creek. Assume that the distance from the edge of the creek varies sinusoidally with time and that the distance y is positive when Bobby is over the water and negative when he is over land. Write a trigonometric function that models the distance Bobby
is from the edge of the creek at time t seconds.
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