The top of a ladder slides down a vertical wall at a rate of 0.1 m/s .At the moment when the bottom of the ladder is 3 m from the wall,it slides away from the wall at a rate of 0.2 m/s .How long is the ladder?
A) 2 m
B) 2.8 m
C) 2.3 m
D) 7 m
E) None of these

Question

Quizplus · Accepted Answer

Using the Pythagorean theorem and related rates, the length of the ladder is calculated as 7 m.

The Top of a Ladder Slides Down a Vertical Wall