A fence 6 feet tall runs parallel to a tall building at a distance of 3 ft from the building as shown in the diagram. LADDER 6 ft 3 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. = (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.) APR 25 E J tv
A fence 6 feet tall runs parallel to a tall building at a distance of 3 ft from the building as shown in the diagram. LADDER 6 ft 3 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. = (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.) APR 25 E J tv
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![A fence 6 feet tall runs parallel to a tall building at a distance of 3 ft from the building as shown in the
diagram.
LADDER
6 ft
3 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.)
25
tv
W
MacBook Pro
G Search or type URL](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1335c0e8-649d-40a8-afe2-e609587c339f%2Ff7ec9ed4-6d9e-486f-acf4-545a0e73d68c%2Fdg8081r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A fence 6 feet tall runs parallel to a tall building at a distance of 3 ft from the building as shown in the
diagram.
LADDER
6 ft
3 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.)
25
tv
W
MacBook Pro
G Search or type URL
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