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 rad./s. when it's lower end is 4m away from the wall.
Answer: (D)
Solution
Let the ladder make angle with the floor and let the top be at height : . Differentiating, . The top slides down at cm/s m/s, so m/s. When the foot is m from the wall, (height m). So
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