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A 13 m long ladder is leaning against a wall, touching the wall at a certain height from the ground…

Mathematics20194 marksNumerical
A 13 m long ladder is leaning against a wall, touching the wall at a certain height from the ground level. The bottom of the ladder is pulled away from the wall, along the ground, at the rate of 2 m/s. How fast is the height on the wall decreasing when the foot of the ladder is 5 m away from the wall?

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Applications of Derivatives

From ISC 2019 Mathematics Paper 1, question 7.