A 5-foot ladder is leaning against a vertical wall. If the bottom of the ladder is being pulled away from the wall at the rate of 10 feet per second, at what rate is the area of the triangle formed by the wall, the ground, and the ladder changing, in square feet per second, at the instant the bottom of the ladder is 4 feet from the wall?

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter8: Areas Of Polygons And Circles
Section8.4: Cicumference And Area Of A Cicle
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A 5-foot ladder is leaning against a vertical wall. If the bottom of the ladder is being pulled away from the wall at the rate of 10 feet per second,
at what rate is the area of the triangle formed by the wall, the ground, and the ladder changing, in square feet per second, at the instant the
bottom of the ladder is 4 feet from the wall?
Transcribed Image Text:A 5-foot ladder is leaning against a vertical wall. If the bottom of the ladder is being pulled away from the wall at the rate of 10 feet per second, at what rate is the area of the triangle formed by the wall, the ground, and the ladder changing, in square feet per second, at the instant the bottom of the ladder is 4 feet from the wall?
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