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A fence 12 feet tall runs parallel to a tall building at a distance of 4 ft from the building as shown in the diagram.

A fence 12 feet tall runs parallel to a tall building at a distance of 4 ft from the building as shown in the diagram.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 10DE
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A fence 12 feet tall runs parallel to a tall building at a distance of 4 ft from the building as shown in the diagram.

A fence 12 feet tall runs parallel to a tall building at a distance of 4 ft from the building as shown in the diagram. LADDER 12 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) :0, substitute that into your original [C] Once you find the value of 0 that makes L'(0) function to find the length of the shortest ladder. (Give your answer accurate to 5 decimal places.) L(0 min ) = feet
Transcribed Image Text:A fence 12 feet tall runs parallel to a tall building at a distance of 4 ft from the building as shown in the diagram. LADDER 12 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) :0, substitute that into your original [C] Once you find the value of 0 that makes L'(0) function to find the length of the shortest ladder. (Give your answer accurate to 5 decimal places.) L(0 min ) = feet
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