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3. When an earthquake hits and creates a tsunami, the water first goes down from its normal level, and then rises an equal distance above

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3. When an earthquake hits and creates a tsunami, the water first goes down from its normal level, and then rises an equal distance above its normal level, then returns to its normal level. A tsunami is approaching Trig Island and is modeled by: d = 10 sin 2TC 15 (t - 7.5) + 11 where d = the water's depth in meters and t = time in minutes since the earthquake. This model only works for one cycle! a. Using the equation, what is the maximum height of the tsunami wave? (No calculator!) b. Using the equation, what is the normal depth of water at Trig Island? (No calculator!) c. What is the period of this function? What does this mean in the context of this problem? d. Graph in the calculator showing the depth of water from the moment the earthquake struck (t = 0) to 13 minutes later. Sketch the graph to the right. e. The Treasure of Trig Island lies 5 meters beneath the normal surface of the water. For how long with the Treasure of Trig Island be exposed? (Remember to look at your answer from part b.)

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