A fence 8 feet tall runs parallel to a tall building at a distance of 2 ft from the building as shown in the diagram. LADDER 8 ft 2 ft 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. L(0) [B] Now, find the derivative, L'(0). Type theta for 0. L'(0) [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(0 min ) - feet

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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A fence 8 feet tall runs parallel to a tall building at a distance of 2 ft from the building as shown in the
diagram.
LADDER
8 ft
2 ft
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.
L(0)
%3D
[B] Now, find the derivative, L'(6).
Type theta for 0.
L'(0) =
%3D
[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.)
L(0 min ) ~
feet
Transcribed Image Text:A fence 8 feet tall runs parallel to a tall building at a distance of 2 ft from the building as shown in the diagram. LADDER 8 ft 2 ft 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. L(0) %3D [B] Now, find the derivative, L'(6). Type theta for 0. L'(0) = %3D [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.) L(0 min ) ~ feet
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