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.) Tuno thota for f

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 46E
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A fence 6 feet tall runs parallel to a tall building at a distance of 2 ft from the building as shown in the
diagram.
LADDER
6 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)
the length of the shortest ladder. (Give your answer accurate to 5 decimal places.)
= 0, substitute that into your original function to find
L(0min ) =
feet
Transcribed Image Text:A fence 6 feet tall runs parallel to a tall building at a distance of 2 ft from the building as shown in the diagram. LADDER 6 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) the length of the shortest ladder. (Give your answer accurate to 5 decimal places.) = 0, substitute that into your original function to find L(0min ) = feet
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