3. A ladder 10 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. a) How fast is the top of the ladder moving down the wall when its base is 6 feet from the wall? b) Find the rate at which the area of the triangle i is 6 feet from the wall. changing when the base of the ladder 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 6 feet from the wall.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 41E: A cylindrical storage tank has a depth of 5 ft and a radius measuring 2 ft. If each cubic foot can...
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3. A ladder 10 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.
a) How fast is the top of the ladder moving down the wall when its base is 6 feet from the
wall?
b) Find the rate at which the area of the triangle is changing when the base of the ladder
is 6 feet from the wall.
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 6 feet from the wall.
Transcribed Image Text:3. A ladder 10 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. a) How fast is the top of the ladder moving down the wall when its base is 6 feet from the wall? b) Find the rate at which the area of the triangle is changing when the base of the ladder is 6 feet from the wall. 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 6 feet from the wall.
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