CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A ladder 24 ft long leans against a vertical wall. The lower end is moving away at the rate of 3 ft\sec. Find the rate at which the top of the ladder is moving downwards, if its foot is 8 ft from the wall.

Open in App
Solution

We know that x2+y2=242 ...... (1)
2xdxdt+2ydydt=0
xdxdt+ydydt=0
xdxdt+y(3)=0
xdxdt3y=0 ...... (2)
Given x=8 ft
82+y2=242
y=22.62
From (2)
8dxdt3(22.62)=0
8dxdt=67.88
dxdt=8.4 ft\sec

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Formation of Differential Equation
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon