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. 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. L(0) : LADDER [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 9. = 6 ft feet [B] Now, find the derivative, L'(0). Type theta for 0. L'(0) = [C] Once you find the value of 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)
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. 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. L(0) : LADDER [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 9. = 6 ft feet [B] Now, find the derivative, L'(0). Type theta for 0. L'(0) = [C] Once you find the value of 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)
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 34A
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Question
![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
L(0min)
6 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.
min) ~
2 ft.
[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 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.)
feet](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F621ac9f8-2dbb-4715-ab7b-42c3ebc90b44%2Ff0f9ea6c-26bb-49b6-9bea-7f66c82ffefd%2Fbn8mwma_processed.png&w=3840&q=75)
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
L(0min)
6 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.
min) ~
2 ft.
[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 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.)
feet
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