Example 3-8-14 - Maple Help
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Chapter 3: Applications of Differentiation

Section 3.8: Optimization

Example 3.8.14


Find the length of the longest ladder that can be carried horizontally around the corner of the passageway shown in Figure 3.8.14(a). (The horizontal and vertical segments, corridors of widths b and a, respectively, are at right angles to each other.)



Hint: The longest ladder that can be carried around the corner at point B is the shortest line segment from A to C that also passes through B.



Hint: Angles ABE and BCF are equal because they are corresponding interior angles of the parallel lines BE and CF.



Figure 3.8.14(a)   Ladder in right-angled corridor

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