A fence 16 feet tall runs parallel to a tall building at a distance of 4 ft from the building as shown in the diagram. Ө LADDER 16 ft 4 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 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) 2 feet
A fence 16 feet tall runs parallel to a tall building at a distance of 4 ft from the building as shown in the diagram. Ө LADDER 16 ft 4 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 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) 2 feet
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 59E
Related questions
Question
![A fence 16 feet tall runs parallel to a tall building at a distance of 4 ft from the building as shown in the
diagram.
LADDER
Q
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)
[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.
=
16 ft
4 ft
[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(0min) ~
feet](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3fae01cf-d0f0-4d2f-bcd7-8b58d28c69af%2F57908ea9-b5a7-43c6-8787-d976c9e53b3f%2F67jfwxn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A fence 16 feet tall runs parallel to a tall building at a distance of 4 ft from the building as shown in the
diagram.
LADDER
Q
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)
[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.
=
16 ft
4 ft
[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(0min) ~
feet
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