A fence 20 feet tall runs parallel to a tall building at a distance of 5 ft from the building as shown in the diagram. LADDER 20 ft 5 ft Ө 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) = Preview [B] Now, find the derivative, L'(0). Type theta for 0. L'(0) Preview [C] Once you find the value of 0 that makes L'(0) the shortest ladder. (Give your answer accurate to 5 decimal places.) = 0, substitute that into your original function to find the length of
A fence 20 feet tall runs parallel to a tall building at a distance of 5 ft from the building as shown in the diagram. LADDER 20 ft 5 ft Ө 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) = Preview [B] Now, find the derivative, L'(0). Type theta for 0. L'(0) Preview [C] Once you find the value of 0 that makes L'(0) the shortest ladder. (Give your answer accurate to 5 decimal places.) = 0, substitute that into your original function to find the length of
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![A fence 20 feet tall runs parallel to a tall building at a distance of 5 ft from the building as shown in the diagram.
LADDER
20 ft
5 ft
Ө
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) =
Preview
[B] Now, find the derivative, L'(0).
Type theta for 0.
L'(0)
Preview
[C] Once you find the value of 0 that makes L'(0)
the shortest ladder. (Give your answer accurate to 5 decimal places.)
= 0, substitute that into your original function to find the length of](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2f171442-38c3-4e38-be3f-c799b8f7a01a%2Fa81fc0cb-190a-4786-a183-d730f938edb4%2Fife91c.png&w=3840&q=75)
Transcribed Image Text:A fence 20 feet tall runs parallel to a tall building at a distance of 5 ft from the building as shown in the diagram.
LADDER
20 ft
5 ft
Ө
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) =
Preview
[B] Now, find the derivative, L'(0).
Type theta for 0.
L'(0)
Preview
[C] Once you find the value of 0 that makes L'(0)
the shortest ladder. (Give your answer accurate to 5 decimal places.)
= 0, substitute that into your original function to find the length of
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