A ladder 55 meters long leans against a wall. When the person holding it lets go, the ladder starts sliding down the wall, increasing its speed as it falls. If the top of the ladder is moving at 11 meter per second when the bottom is 44 meters from the wall, how fast is the lower end moving away from the wall at that time?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.3: Solving Quadratic Equations By Graphing
Problem 6GP
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A ladder 55 meters long leans against a wall. When the person holding it lets go, the ladder starts sliding down the wall, increasing its speed as it falls. If the top of the ladder is moving at 11 meter per second when the bottom is 44 meters from the wall, how fast is the lower end moving away from the wall at that time?

Draw a diagram, and explain clearly your choice of variables. Show your work, and write a concluding sentence as your final answer.

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