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Grade: 12

                        

A ladder 5m is resting against vertical waall.The bottom of the ladder is pulled along the ground away from the wall at the rate of 1.5m/sec.The length of the highest point of the ladder when the foot of the ladder is 4.0m away from the wall decreases at the rate of

11 years ago

Answers : (2)

Pratham Ashish
17 Points
							hi,


let the length of the highest point of the ladder   =  h 

distance of the bottom from wall  =  d 


so,   h^2  +  d^2 =  5^2
    
       h^2  +  d^2 =   25


     h  =  (25 - d^2 )^1/2


     dh/dt  = - 1/2 (25 - d^2 )^ -1/2  *  2d

            = - 4 / 3  , 

 rate of decreas of h  4/3 m/s

  
						
11 years ago
anandpal shekhawat
8 Points
							Hi, 
let a be vertical height & b be distance of bottom from wall, so
    a^2 + b^2 =25
when b = 4m then a = 3m
& Diff. above w.r.t. dt, we can find speed of highest point
						
11 years ago
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