Let the top end of the ladder be m above the ground, then:Originally Posted by dadon
So differentiating this wrt gives:
So now plug the values of and in and solve for .
How about do I go to answer the following rate of change question.
A ladder of length 10metres is placed with one end of the horizontal ground and the other end against a vertical wall. Given the ladder makes an angle with the horizontal then it slips vertically down the wall at rate of 2 metres/sec. Find the rate at which the angle is decreasing at the distant when radian.
To help I have attached a picture.
I know the rate has to be minus (-2m/sec) as it is decreasing.
Can someone please explain the process step by step as I am totally lost