Two hallways, one of width 3 feet, the other of width 4 feet, meet at a right
Question:
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 L of the line segment shown as a function of the angle θ is
L(θ) = 3 sec θ + 4 csc θ
(b) Graph L = L(θ),0 < θ < π/2.
(c) For what value of θ 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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Step by Step Answer:
a Consider the length of the line segment in two sections x the portion ...View the full answer
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