A fence 6 feet tall runs parallel to a tall building at a distance of 2 ft from the building as shown in the diagram. LADDER We wish to find the length of the shortest ladder that will reach from the ground over the fence to the wall of the building. [A] First, find a formula for the length of the ladder in terms of 0. (Hint: split the ladder into 2 parts.) Type theta for 0. [B] Now, find the derivative, L'(0). Type theta for 0. %3D (0).T [C] Once you find the value of 0 that makes L'(0) = 0, substitute that into your original function to find the length of the shortest ladder. (Give your answer accurate to 5 decimal places.) %3D L(0min ) - feet Submit Question Jump to Answer MacBook Pro

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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A fence 6 feet tall runs parallel to a tall building at a distance of 2 ft from the building as shown in the
diagram.
LADDER
We wish to find the length of the shortest ladder that will reach from the ground over the fence to the wall of
the building.
[A] First, find a formula for the length of the ladder in terms of 0. (Hint: split the ladder into 2 parts.)
Type theta for 0.
[B] Now, find the derivative, L'(0).
Type theta for 0.
%3D
(0).T
[C] Once you find the value of 0 that makes L'(0) = 0, substitute that into your original function to find the
length of the shortest ladder. (Give your answer accurate to 5 decimal places.)
%3D
L(0min ) -
feet
Submit Question
Jump to Answer
MacBook Pro
Transcribed Image Text:A fence 6 feet tall runs parallel to a tall building at a distance of 2 ft from the building as shown in the diagram. LADDER We wish to find the length of the shortest ladder that will reach from the ground over the fence to the wall of the building. [A] First, find a formula for the length of the ladder in terms of 0. (Hint: split the ladder into 2 parts.) Type theta for 0. [B] Now, find the derivative, L'(0). Type theta for 0. %3D (0).T [C] Once you find the value of 0 that makes L'(0) = 0, substitute that into your original function to find the length of the shortest ladder. (Give your answer accurate to 5 decimal places.) %3D L(0min ) - feet Submit Question Jump to Answer MacBook Pro
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