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A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2 feet per second. 25 ft (a) What is the velocity of the top of the ladder when the base is given below? 7 feet away from the wall -0.58 |× ft/sec 15 feet away from the wall -1.25 |× ft/sec 20 feet away from the wall |× ft/sec -2.67

A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2 feet per second. 25 ft (a) What is the velocity of the top of the ladder when the base is given below? 7 feet away from the wall -0.58 |× ft/sec 15 feet away from the wall -1.25 |× ft/sec 20 feet away from the wall |× ft/sec -2.67

College Algebra
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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A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2 feet per second. 25 ft (a) What is the velocity of the top of the ladder when the base is given below? 7 feet away from the wall |-0.58 X ft/sec 15 feet away from the wall |-1.25 x ft/sec 20 feet away from the wall |-2.67 |x ft/sec (b) Consider the triangle formed by the side of the house, ladder, and the ground. Find the rate at which the area of the triangle is changing when the base of the ladder is 20 feet from the wall. |-11.67 x 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 20 feet from the wall. 0.13 x rad/sec
Transcribed Image Text:A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2 feet per second. 25 ft (a) What is the velocity of the top of the ladder when the base is given below? 7 feet away from the wall |-0.58 X ft/sec 15 feet away from the wall |-1.25 x ft/sec 20 feet away from the wall |-2.67 |x ft/sec (b) Consider the triangle formed by the side of the house, ladder, and the ground. Find the rate at which the area of the triangle is changing when the base of the ladder is 20 feet from the wall. |-11.67 x 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 20 feet from the wall. 0.13 x rad/sec
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