City firefighters are told that they can use their 25-foot long ladder provided the

Chapter 11, Problem 10

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City firefighters are told that they can use their 25-foot long ladder provided the measure of the angle that the ladder makes with the ground is at least 15 and no more than 75. a. If u represents the measure of the angle that the ladder makes with the ground in radians, what is a reasonable set of values for u? Explain. b. Express as a function of u,the height h of the point at which the ladder will rest against a building. c. Graph the function from part b using the set of values for u from part a as the domain of the function. d. What is the highest point that the ladder is allowed to reach?

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