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 building. length of shortest ladder that will ach from the ground over the fence to the wall of [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(8) : [B] Now, find the derivative, L'(0). Type theta for 0. L'(8) = [C] Once you find the value of 0 that makes L'(0) length of the shortest ladder. (Give your answer accurate to 5 decimal places.) 0, substitute that into your original function to find the
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 building. length of shortest ladder that will ach from the ground over the fence to the wall of [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(8) : [B] Now, find the derivative, L'(0). Type theta for 0. L'(8) = [C] Once you find the value of 0 that makes L'(0) length of the shortest ladder. (Give your answer accurate to 5 decimal places.) 0, substitute that into your original function to find the
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 46E
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Question
![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)
length of the shortest ladder. (Give your answer accurate to 5 decimal places.)
0, substitute that into your original function to find the
L(0min
) a
feet](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9df33159-321f-48e5-af1e-662766951d89%2F76d4c8a1-c643-495b-ac0b-b2e0a006bf1d%2Fuc2uar1_processed.png&w=3840&q=75)
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)
[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)
length of the shortest ladder. (Give your answer accurate to 5 decimal places.)
0, substitute that into your original function to find the
L(0min
) a
feet
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