Carrying a Ladder around a Corner Two hallways, one of width 3 feet, the other of width 4 feet, meet at a right angle. See the illustration.
(a) Show that the length of the ladder shown as a function of the angle is
(b) Graph
(c) For what value of is 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 ?
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Precalculus Enhanced With Graphing Utilities, 1/e
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