Application of DerivativeMedium

Question

A ladder 10 metres long rests with one end against a vertical wall, the other end on the floor. The lower end moves away from the wall at the rate of 2 metres / minute. The rate at which the upper end falls when its base is 6 metres away from the wall, is-

Options

A.-3 metres/min
B.-2/3 metres/min
C.- 3/2 metres/min
D.None of these

Solution

    
x2 + y2 = 100
2x = 0
= 2 meter / minite    
2 × 6 × 2 + 2 × 8 × = 0
meter / minute
meter / minute

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