on below A fence 25 feet tall runs parallel to a tall building at a distance of 5 ft from the building as shown in the diagram. LADDER 25 ft 5 ft e 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. 5 tan (0) +25 L(0) sin (0) [B] Now, find the derivative, L'(0). Type theta for 0. L'(0) 5 sec² (0) sin (0) - cos(0) (5 tan (0) + 25) (sin(0)) 2 [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) 40.31132 Submit Question x feet 2:03 AM
on below A fence 25 feet tall runs parallel to a tall building at a distance of 5 ft from the building as shown in the diagram. LADDER 25 ft 5 ft e 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. 5 tan (0) +25 L(0) sin (0) [B] Now, find the derivative, L'(0). Type theta for 0. L'(0) 5 sec² (0) sin (0) - cos(0) (5 tan (0) + 25) (sin(0)) 2 [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) 40.31132 Submit Question x feet 2:03 AM
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![on below
A fence 25 feet tall runs parallel to a tall building at a distance of 5 ft from the building as shown in the
diagram.
LADDER
25 ft
5 ft
e
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.
5 tan (0) +25
L(0)
sin (0)
[B] Now, find the derivative, L'(0).
Type theta for 0.
L'(0)
5 sec² (0) sin (0) - cos(0) (5 tan (0) + 25)
(sin(0)) 2
[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) 40.31132
Submit Question
x feet
2:03 AM](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F01da4898-3c27-4f0f-948b-1b4cc3c5d2ae%2F35c61281-8501-4acf-80a7-8677342abe79%2F4qm36n_processed.jpeg&w=3840&q=75)
Transcribed Image Text:on below
A fence 25 feet tall runs parallel to a tall building at a distance of 5 ft from the building as shown in the
diagram.
LADDER
25 ft
5 ft
e
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.
5 tan (0) +25
L(0)
sin (0)
[B] Now, find the derivative, L'(0).
Type theta for 0.
L'(0)
5 sec² (0) sin (0) - cos(0) (5 tan (0) + 25)
(sin(0)) 2
[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) 40.31132
Submit Question
x feet
2:03 AM
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