A fence 12 feet tall runs parallel to a tall building at a distance of 3 ft from the building as shown in the diagram. Ꮎ LADDER 12 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. feet [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) 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)~
A fence 12 feet tall runs parallel to a tall building at a distance of 3 ft from the building as shown in the diagram. Ꮎ LADDER 12 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. feet [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) 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)~
Mathematics For Machine Technology
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Chapter5: Division Of Common Fractions And Mixed Numbers
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![Question 45
>
A fence 12 feet tall runs parallel to a tall building at a distance of 3 ft from the building as shown in the
diagram.
LADDER
12 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.
feet
[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(Omin)~](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb1c81f19-6b44-4c48-9f6b-8f6cecd1e5f5%2F115a79e8-bf8f-45dd-8400-69fa546a6219%2Fgp3b2w_processed.png&w=3840&q=75)
Transcribed Image Text:Question 45
>
A fence 12 feet tall runs parallel to a tall building at a distance of 3 ft from the building as shown in the
diagram.
LADDER
12 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.
feet
[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(Omin)~
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