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
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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 74E
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcd01915b-fb17-4914-86a9-c12e84089e7a%2Ff6d1d122-7237-4f3f-9d79-7bd1a2977d04%2Fqzy3nzp_processed.jpeg&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)
%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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