A ladder 25 feet long is leaning agalnst the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2 feet per second. (a) What is the velocity of the top of the ladder when the base is glven below? 7 feet away from the wall | ft/sec 15 feet away from the wall ft/sec 20 feet away from the wall ft/sec (b) Consider the trlangle formed by the side of the house, ladder, and the ground. Find the rate at whlch the area of the triangle Is changing when the base of the ladder is 7 feet from the wall. | ft²/sec (c) Find the rate at which the angle between the ladder and the wall of the house is changing when the base of the ladder is 7 feet from the wall. rad/sec
A ladder 25 feet long is leaning agalnst the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2 feet per second. (a) What is the velocity of the top of the ladder when the base is glven below? 7 feet away from the wall | ft/sec 15 feet away from the wall ft/sec 20 feet away from the wall ft/sec (b) Consider the trlangle formed by the side of the house, ladder, and the ground. Find the rate at whlch the area of the triangle Is changing when the base of the ladder is 7 feet from the wall. | ft²/sec (c) Find the rate at which the angle between the ladder and the wall of the house is changing when the base of the ladder is 7 feet from the wall. rad/sec
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...
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Transcribed Image Text:A ladder 25 feet long is leaning agalnst the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2 feet per
second.
(a) What is the velocity of the top of the ladder when the base is glven below?
7 feet away from the wall
| ft/sec
15 feet away from the wall
ft/sec
20 feet away from the wall
ft/sec
(b) Consider the trlangle formed by the side of the house, ladder, and the ground. Find the rate at whlch the area of the triangle
Is changing when the base of the ladder Is 7 feet from the wall.
| ft?/sec
(c) Find the rate at which the angle between the ladder and the wall of the house is changing when the base of the ladder is 7
feet from the wall.
rad/sec
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