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

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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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
What is the distance of the bottom
ladder from the wall and the
distance of the top of the ladder
from the ground, respectively?
O x = 8;y=6
O x = 6;y=8
O x= 10; y = 4
O x = 4;y = 10
Transcribed Image Text:What is the distance of the bottom ladder from the wall and the distance of the top of the ladder from the ground, respectively? O x = 8;y=6 O x = 6;y=8 O x= 10; y = 4 O x = 4;y = 10
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