A ladder 5 m long rests against a vertical wall. If the top of the ladder slides down the wall at a rate of 1/2 m/s, how fast is the bottom of the ladder sliding away from the wall when the top of the ladder is 4 m from the ground? O a. The ladder is sliding away from the wall at a rate 2 m/s O b. The ladder is sliding away from the wall at a rate -2/3 m/s O c. The ladder is sliding away from the wall at a rate 2/3 m/s O d. The ladder is sliding away from the wall at a rate 1/2 m/s e. The ladder is sliding away from the wall at a rate -1/2 m/s

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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A ladder 5 m long rests against a vertical wall. If the top of the ladder slides down the wall at a rate of 1/2
m/s, how fast is the bottom of the ladder sliding away from the wall when the top of the ladder is 4 m from
the ground?
a. The ladder is sliding away from the wall at a rate 2 m/s
O b. The ladder is sliding away from the wall at a rate -2/3 m/s
O c. The ladder is sliding away from the wall at a rate 2/3 m/s
O d. The ladder is sliding away from the wall at a rate 1/2 m/s
e. The ladder is sliding away from the wall at a rate -1/2 m/s
Transcribed Image Text:A ladder 5 m long rests against a vertical wall. If the top of the ladder slides down the wall at a rate of 1/2 m/s, how fast is the bottom of the ladder sliding away from the wall when the top of the ladder is 4 m from the ground? a. The ladder is sliding away from the wall at a rate 2 m/s O b. The ladder is sliding away from the wall at a rate -2/3 m/s O c. The ladder is sliding away from the wall at a rate 2/3 m/s O d. The ladder is sliding away from the wall at a rate 1/2 m/s e. The ladder is sliding away from the wall at a rate -1/2 m/s
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