A ladder leans against a vertical wall. If the top of the ladder slides down at 4 ft how is the sec angle of elevation of the ladder changing when the base of the ladder is 8 ft from the wall? rad sec
A ladder leans against a vertical wall. If the top of the ladder slides down at 4 ft how is the sec angle of elevation of the ladder changing when the base of the ladder is 8 ft from the wall? rad sec
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:A ladder leans against a vertical wall. If the top of the ladder slides down at 4-
ft
how is the
sec
angle of elevation of the ladder changing when the base of the ladder is 8 ft from the wall?
rad
sec
Expert Solution
Step 1
Let x and y (in feet)be the distance of bottom of the ladder from the wall and distance of the top f ladder from the ground respectively.
Let l feet be the length of the wall
AC=x, BC=y, AB=l
Let angle of elevation of ladder be
It is given, top of ladder slides down at 4 feet/s., that is
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