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2. As shown in the figure above a person whose eye level is 5 feet above the ground stands on the top of a

  

2. As shown in the figure above a person whose eye level is 5 feet above the ground stands on the top of a hill overlooking a valley. The shape of the valley is modeled by the graph of f(x) = 50 cos100 The person's line of sight is tangent to the side of the hill at point A (a,50 cos (T00). (a) Write an equation of the tangent line in terms of a. (b) Find the value of a. (c) Can the person see the top of a 25-foot tall flagpole located at the lowest point of the valley? Justify your answer. Person

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