please solve asap LADDER12 ft6 ftWe wish to find the length of the shortest ladder that willreach from the ground over the fence to the wall of thebuilding.[A] First, find a formula for the length of the ladder interms of 0. (Hint: split the ladder into 2 parts.)Type theta for 0.L(8) =[B] Now, find the derivative, L'(0).Type theta for 0.L'(0) =[C] Once you find the value of 0 that makes L'(8) = 0,substitute that into your original function to find thelength of the shortest ladder. (Give your answer accurateto 5 decimal places.)

Here, BE is the ladder. ∠ABC=θ∠EAD=θ

LADDER 12 fi 6 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. = (6).T [C] Once you find the value of 0 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.)

LADDER 12 fi 6 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. = (6).T [C] Once you find the value of 0 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.)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

See similar textbooks

Related questions

Q: e implicit differentiation to find an equation of the tangent line to the devil's curve,defined by y…

A: Follow the procedure given below.

Q: Find an equation of the tangent line to the curve at the given point. y = ex cos(x) + sin(x),…

Q: Find the equations of the tangent lines to the graph of y = In |x| at x = 1 and x= - 1. The equation…

Q: The function y = sin x completes one period on the interval 30, 2π4, the function y = sin 2x…

A: Consider the function y = sinx and its Graph:

Q: TC nts) Find the equation of the tangent line to the curve y= sin (3x) at r=-. Show all steps…

Q: A fence 18 feet tall runs parallel to a tall building at a distance of 6 ft from the building as…

A: To find the solution

Q: Find an equation of the tangent line to the curve at the given point у3 Vх, (1, 1) y = Your answer…

A: The equation of the tangent line to the curve y = f(x) at point (a, b) is given by: y-b = (dy/dx)(a,…

Q: Q2: Find the tangent line when the function 1- y= 4+Cot x -2Sec x and point ( ,0) 2- y= x2 at the…

Q: a) Find the points at which the tangent line to the graph of function f(x) =x³ – 36x+60 has slope…

Q: 3n Find the equation of the tangent lines to the curve y = sin x at x = - T, 0, and 2 Graph the…

Q: A fence 6 feet tall runs parallel to a tall building at a distance of 2 ft from the building as…

Q: Q2: Find the tangent line when the function 1- y= 4+Cot x -2Sec x and point E,0) 2- y= x2 at the…

Q: A fence 6 feet tall runs parallel to a tall building at a distance of 2 ft from the building as…

Q: 1. Explain two different ways to solve for the derivative of s(0) = 200sin cos

A: Topic = Derivative

Q: 1 Find an equation of the line tangent to the graph of f(x) = a) at (1,1); b) at c) at a) The…

Q: Find the equation of the tangent line to the curve y = 6 tan z at the point (, 6). The equation of…

Q: Question 4 please

Q: A fence 8 feet tall runs parallel to a tall building at a distance of 2 ft from the building as…

A: We need to find shortest ladder that will reach from the ground over the fence to the wall of the…

Q: Find an equation of the tangent line to the graph of the equation ln(x) + xey = 1 at the point (1,…

Q: A fence 4 feet tall runs parallel to a tall building at a distance of 2 ft from the building as…

A: Find your answer below

Q: a.) Find an equation of the tangent line to the curve at the given point. y = (4)/(sinx + cosx),…

Q: sin 0.5 va Find the first-order derivative of y = at x = 2 and h = 0.2 a.) Forward difference b.)…

A: Three approximations to the derivative of function f(x) at x=k are 1. the one-sided (forward)…

Q: A fence 24 feet tall runs parallel to a tall building at a distance of 6 ft from the building as…

A: Trigonometric ratio

Q: 2+ cos x 10. Find the equation of the line that is tangent to the curve at the point (7, 1/2) .…

A: We have to find the equation of tangent line First find the derivative of given function at given…

Q: 2. Use calculus techniques to sketch the curve y = Use wolfram alpha to calculate the first and…

Q: Find y′ and the slope of the tangent line to the graph of the equation below at the indicated point.…

Q: If the second derivative of the equation of a curve is equal to the negative of the equation of the…

A: Consider a sinusoid function and calculate its double derivative. Here, Double derivative is the…

Q: A fence 8 feet tall runs parallel to a tall building at a distance of 2 ft diagram. om the buitding…

A: In this question, we need to find the length of shortest ladder.

Q: a) Find all points on the curve y2e-2x=3y+x2 for which x =0. That is, dind all y values for which…

Q: A fence 20 feet tall runs parallel to a tall building at a distance of 5 ft from the building as…

A: We label the end points.

Q: A fence 9 feet tall runs parallel to a tall building at a distance of 3 ft from the building as…

A: We have to find the length of shortest ladder that will reach from ground over the fence to the wall…

Q: A fence 6 feet tall runs parallel to a tall building at a distance of 2 ft from the building as…

Q: 3 Find the equation of the tangent line to the curve y = 6 sin x at the point 6 The equation of this…

A: Given Data: Curve: y=6sinx Point: x1, y1=π6, 3 The first derivative of the curve with respect to x…

Q: Find the equation of the tangent line to the curve: sin-' (2x – y) – cos-(x – 2y) + = () at the…

A: Equation of tangent at point (x1,y1) (y-y1)=dy/dx(x-x1)

Q: A fence 12 feet tall runs parallel to a tall building at a distance of 6 ft from the building as…

Q: 4. f(x) = In cosh (4x)

A: The given function is, f(x)=lncosh(4x) Then, differentiate by the chain rule is,…

Q: A fence 4 feet tall runs parallel to a tall building at a distance of 2 ft from the building as…

A: Let the length of the ladder be l feet. Given that ladder makes angle θ with the horizontal.…

Q: 2.5 Can you show me the steps to solve the problem? Directions: Find the derivative of the function.…

A: Here the given function is y = (cosx) /√1 + sinx . and we find the first derivative of the function:…

Q: ) Find an equation of the tangent line to the curve y = Vx at the given point (4, 2). e the…

A: topic - equation of a tangent line

Q: A fence 15 feet tall runs parallel to a tall building at a distance of 3 ft from the building as…

A: Consider the given figure:

Q: Find the derivative of the trigonometric function, no chain rule please. Only basic rules from 2.2…

Q: A fence 20 feet tall runs parallel to a tall building at a distance of 5 ft from the building as…

Q: Next question 1 Find an equation of the line tangent to the graph of f(x) = a) at (1,1); b) at c) at…

Q: A fence 30 feet tall runs parallel to a tall building at a distance of 6 ft from the building as…

A: Maxima and minima using derivative – We first find the derivative of the given function and equate…

Q: A fence 6 feet tall runs parallel to a tall building at a distance of 2 ft from the building as…

Q: 2. Differentiate a sine and cosine function that involves product and chain rule. Find the equation…

Q: Find an equation of the tangent line to the graph of the function at the given point. function y = 7…

Q: QUESTION A.5.1 At x = 0, what is the equation of the tangent line of 3sin (y) – In(e sechx) =…

Q: 22. Find the equation of the tangent line to the graph of the equation tan-'(x + y) = x² + at the…

A: The equation is given by, tan-1x+y=x2+π4x+y=tanx2+π4y=tanx2+π4-x The slope of the tangent to the…

Question

100%

please solve asap

LADDER
12 ft
6 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(8) =
[B] Now, find the derivative, L'(0).
Type theta for 0.
L'(0) =
[C] Once you find the value of 0 that makes L'(8) = 0,
substitute that into your original function to find the
length of the shortest ladder. (Give your answer accurate
to 5 decimal places.)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

Trending now

This is a popular solution!

Step by step

Solved in 7 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Basics (types, similarity, etc)$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.