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Exploration 2: Waves In this Exploration, you will share your ideas about two situations. Situation 1: Oceanography Tides are affected by the gravitational pull of both the moon and the sun. High tides and low tides happen in patterns and can be measured using trigonometry. For example, on a particularly cold day in Long Beach, California the high tide occured at midnight. To determine the height of the water at the harbor use the equation h(t) = 4.8 sin(t+3)+5.1, such that represents the number of hours after midnight and h(t) represents the height of the water in the harbor in meters. Answer these discussion questions: 1. What is the height of the water at high tide? 2. What is the change in height from high tide to low tide? Be sure t use the word "amplitude" in your answer. 3. How much time goes by before the water is at high tide again?

Exploration 2: Waves In this Exploration, you will share your ideas about two situations. Situation 1: Oceanography Tides are affected by the gravitational pull of both the moon and the sun. High tides and low tides happen in patterns and can be measured using trigonometry. For example, on a particularly cold day in Long Beach, California the high tide occured at midnight. To determine the height of the water at the harbor use the equation h(t) = 4.8 sin(t+3)+5.1, such that represents the number of hours after midnight and h(t) represents the height of the water in the harbor in meters. Answer these discussion questions: 1. What is the height of the water at high tide? 2. What is the change in height from high tide to low tide? Be sure t use the word "amplitude" in your answer. 3. How much time goes by before the water is at high tide again?

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter4: Graphing And Inverse Functions
Section4.6: Graphing Combinations Of Functions
Problem 49PS
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Exploration 2: Waves In this Exploration, you will share your ideas about two situations. Situation 1: Oceanography Tides are affected by the gravitational pull of both the moon and the sun. High tides and low tides happen in patterns and can be measured using trigonometry. For example, on a particularly cold day in Long Beach, California the high tide occured at midnight. To determine the height of the water at the harbor use the equation h(t) = 4.8 sin ☎ (t+3) + 5.1, such that ʼn represents the number of hours after midnight and h(t) represents the height of the water in the harbor in meters. Answer these discussion questions: 1. What is the height of the water at high tide? 2. What is the change in height from high tide to low tide? Be sure to use the word "amplitude" in your answer. 3. How much time goes by before the water is at high tide again?
Transcribed Image Text:Exploration 2: Waves In this Exploration, you will share your ideas about two situations. Situation 1: Oceanography Tides are affected by the gravitational pull of both the moon and the sun. High tides and low tides happen in patterns and can be measured using trigonometry. For example, on a particularly cold day in Long Beach, California the high tide occured at midnight. To determine the height of the water at the harbor use the equation h(t) = 4.8 sin ☎ (t+3) + 5.1, such that ʼn represents the number of hours after midnight and h(t) represents the height of the water in the harbor in meters. Answer these discussion questions: 1. What is the height of the water at high tide? 2. What is the change in height from high tide to low tide? Be sure to use the word "amplitude" in your answer. 3. How much time goes by before the water is at high tide again?
Situation 2: Noise Cancelling Headphones ANOS Have you ever wondered how noise cancelling headphones work? It is accomplished by calculating the ambient noise around the headphones and producing a sound wave that negates the ambient noise sound wave. Sound waves are nothing more than trigonometric functions. Explore the Noise Canceling Waves interactive that plays different tones and lets you explore how to cancel them out. Once you have completed the exploration, answer these questions. 1. How do you know when the two waves cancel each other out? 2. How does frequency affect cancelling out the sound wave? 3. How would the equations for each wave compare? Hint: Explain how the cancelling wave might change the original amplitude, the period, and the intercepts? 4. Does the cancelling wave cause a phase shift? Give details.
Transcribed Image Text:Situation 2: Noise Cancelling Headphones ANOS Have you ever wondered how noise cancelling headphones work? It is accomplished by calculating the ambient noise around the headphones and producing a sound wave that negates the ambient noise sound wave. Sound waves are nothing more than trigonometric functions. Explore the Noise Canceling Waves interactive that plays different tones and lets you explore how to cancel them out. Once you have completed the exploration, answer these questions. 1. How do you know when the two waves cancel each other out? 2. How does frequency affect cancelling out the sound wave? 3. How would the equations for each wave compare? Hint: Explain how the cancelling wave might change the original amplitude, the period, and the intercepts? 4. Does the cancelling wave cause a phase shift? Give details.
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