Solved: Two hallways, one of width 3 feet, the other of

Chapter 7, Problem 108

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Two hallways, one of width 3 feet, the other of width 4 feet, meet at a right angle. See the illustration. It can be shown that the length L of the ladder as a function of u is L1u2 = 4 csc u + 3 sec u. (a) In calculus, you are asked to find the length of the longest ladder that can turn the corner by solving the equation 3 sec u tan u - 4 csc u cot u = 0, 0 6 u 6 90 Solve this equation for u.

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