3. A 12-foot ladder is propped up against a wall. If the bottom of the ladder slides away from the wall at a rate of 3 ft/sec, how fast is the measure of the angle between the bottom of the ladder and the floor changing when the angle between the top of the ladder and the wall measures radians? State what you are asked to find, in words Draw and label a picture. and in variables. Define all variables and write down all numerical information. General/Constant Point In Time Write an equation that relates the variables. (Do not include any point in time information.) Differentiate the equation with respect to t Follow the steps necessary to solve the problem. Give the solution in sentence form,

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 38E
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3. A 12-foot ladder is propped up against a wall. If the bottom of the ladder slides away from the wall at a
rate of 3 ft/sec, how fast is the measure of the angle between the bottom of the ladder and the floor
changing when the angle between the top of the ladder and the wall measures radians?
State what you are
asked to find, in words
Draw and label
a picture.
and in variables.
Define all variables and write down all numerical information.
General/Constant
Point In Time
Write an equation that relates the variables.
(Do not include any point in time information.)
Differentiate the equation with respect to t
Follow the steps
necessary to solve the
problem.
Give the solution
in sentence form,
Transcribed Image Text:3. A 12-foot ladder is propped up against a wall. If the bottom of the ladder slides away from the wall at a rate of 3 ft/sec, how fast is the measure of the angle between the bottom of the ladder and the floor changing when the angle between the top of the ladder and the wall measures radians? State what you are asked to find, in words Draw and label a picture. and in variables. Define all variables and write down all numerical information. General/Constant Point In Time Write an equation that relates the variables. (Do not include any point in time information.) Differentiate the equation with respect to t Follow the steps necessary to solve the problem. Give the solution in sentence form,
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