MHT CET 2023 Mathematics question
A ladder, 5 meters long, rests against a vertical wall. If its top slides downwards at the rate of 10 cm/s, then the angle between the ladder and the floor is decreasing at the rate of radians / second when it's lower end is 4m away from the wall.
Answer: (B)
Solution
Let the top of the ladder be at height and the angle with the floor be , so . The top slides down at cm/s m/s, so m/s. Differentiate: . When the foot is m from the wall, m and
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