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A 10-ft ladder is leaning against a house on flat ground. The house is to the left of the ladder. The base of the ladder starts to slide away from the house. When the base has slid to 8 ft from the house, it is moving horizontally at the rate of 2 ft/sec. How fast is the ladder's top sliding down the wall when the base is 8 ft from the house?

A 10-ft ladder is leaning against a house on flat ground. The house is to the left of the ladder. The base of the ladder starts to slide away from the house. When the base has slid to 8 ft from the house, it is moving horizontally at the rate of 2 ft/sec. How fast is the ladder's top sliding down the wall when the base is 8 ft from the house?

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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What is the rate of change of the distance between the bottom of the ladder and the wall? O dx/dt = 2 O dx/dt = -2 Ody/dt = 2 Ody/dt = -2
Transcribed Image Text:What is the rate of change of the distance between the bottom of the ladder and the wall? O dx/dt = 2 O dx/dt = -2 Ody/dt = 2 Ody/dt = -2
For items 1-5 A 10-ft ladder is leaning against a house on flat ground. The house is to the left of the ladder. The base of the ladder starts to slide away from the house. When the base has slid to 8 ft from the house, it is moving horizontally at the rate of 2 ft/sec. How fast is the ladder's top sliding down the wall when the base is 8 ft from the house? Assuming: x is the distance between the bottom of the ladder and the wall y is the distance between the top of the ladder and the wall Relation of x and y using Pythagorean theorem is: x^2 + y^2 = 64
Transcribed Image Text:For items 1-5 A 10-ft ladder is leaning against a house on flat ground. The house is to the left of the ladder. The base of the ladder starts to slide away from the house. When the base has slid to 8 ft from the house, it is moving horizontally at the rate of 2 ft/sec. How fast is the ladder's top sliding down the wall when the base is 8 ft from the house? Assuming: x is the distance between the bottom of the ladder and the wall y is the distance between the top of the ladder and the wall Relation of x and y using Pythagorean theorem is: x^2 + y^2 = 64
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