SOLUTION: A local building code requires that the angle of the pitch on a roof be between 20 degrees and 25 degrees. You are building a 20 ft wide shed, and the height of the roof at its cen

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Question 744573: A local building code requires that the angle of the pitch on a roof be between 20 degrees and 25 degrees. You are building a 20 ft wide shed, and the height of the roof at its center will be defined by the tangent curve y=10tan(theta). If you wanted to put a roof that was 5 ft high measured from the top of the wall, would the roof pass the building code? What is the range of heights for the roof that will fall within the building code?
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