Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 46E
Related questions
Question
![A fence 15 feet tall runs parallel to a tall building at a distance of 3 ft from the building as shown in the
diagram.
LADDER
15 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.
[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)
length of the shortest ladder. (Give your answer accurate to 5 decimal places.)
0, substitute that into your original function to find the
L(0 min ) =
feet](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F33eba9e5-eb7d-44a1-93e3-ed0ee897e17f%2F6cbe4064-0dde-48ef-bd29-d5cc569f0dbf%2Fols1vqq_processed.png&w=3840&q=75)
Transcribed Image Text:A fence 15 feet tall runs parallel to a tall building at a distance of 3 ft from the building as shown in the
diagram.
LADDER
15 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.
[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)
length of the shortest ladder. (Give your answer accurate to 5 decimal places.)
0, substitute that into your original function to find the
L(0 min ) =
feet
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