[APPLICATION] A certain town has a 20 m tall windmill with a tip of…[APPLICATION] A certain town has a 20 m tall windmill with a tip of one of the blades painted red. Over a period of 30 seconds, that red tip moves from 20 m from the ground down to 2 m from the ground and back up to 20 m away.a) Write an equation(Cosine function) that models the red tip’s distance from the ground in terms of time. Assume that the red tip is at the maximum distance from the ground at the start of the rotation. Specify what is maximum height, what is minimum height, What is amplitude, What is equation of axes [4 marks]b) What does the equation of axes represent in this situation? [1 mark] c) The owner of the town’s mini-golf course would like to install a to-scale version of the windmill on hole 18 of his course that is 2 m tall. Write an equation to model the distance between the red tip of the small windmill and the ground?[1 mark]d) A golf ball has a diameter of 4.3 cm. If the red-tipped blade on the small windmill is as close to the ground as possible, will it block the golf ball? Justify your answer. [1 mark] MathTrigonometry MATH MCR 3U
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