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. (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 away from the wall. (Answer in ft^2/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. (Answer in 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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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. (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 away from the wall. (Answer in ft^2/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. (Answer in rad/sec).
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