Two hallways, one of width 3 feet, the other of width 4
Chapter 6, Problem 51(choose chapter or problem)
Two hallways, one of width 3 feet, the other of width 4 feet, meet at a right angle. See the illustration. 4 ft 3 ft L (a) Show that the length L of the line segment shown as a function of the angle u is L1u2 = 3 sec u + 4 csc u (b) Graph L = L1u2, 0 6 u 6 p 2 . (c) For what value of u is L the least? (d) What is the length of the longest ladder that can be carried around the corner? Why is this also the least value of L?
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