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 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 ft/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
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 2TU: Use the table of values you made in part 4 of the example to find the limiting value of the average...
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11.
DETAILS
LARCALCET7 3.7.021.
MY NOTES
ASK YOUR TEACHER
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
ft
sec
(a) What is the velocity of the top of the ladder when the base is given below?
7 feet away from the wall
ft/sec
20 feet away from the wall
ft/sec
24 feet away from the wall
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 24 feet from the
wall.
ft2/sec
Transcribed Image Text:11. DETAILS LARCALCET7 3.7.021. MY NOTES ASK YOUR TEACHER 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 ft sec (a) What is the velocity of the top of the ladder when the base is given below? 7 feet away from the wall ft/sec 20 feet away from the wall ft/sec 24 feet away from the wall 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 24 feet from the wall. ft2/sec
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