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Class 12 Maths · Applications Of Derivatives · Mcq Single Correct #7

A 5 m ladder rests against a vertical wall. Its top descends at 10 cm/s. Find the magnitude of the rate of decrease of its angle θ with the horizontal when its foot is 2 m from the wall.

✅ Step-by-Step Solution

Final Answer: Option (B): 1/20 rad/s
  1. y=5sin θ gives −0.1=5cos θ·θ̇. At this instant 5cos θ=2, so θ̇=−1/20 rad/s.

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