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

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 45SE: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the...

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