Asked by chris
a 20m ladder rests vertically against the side of a barn. a pig that has been hitched to the ladder starts to pull the base of the ladder away from the wall at a constant rate of 40 cm per second. find the rate of change of the height of the top of the ladder after 30 secs
Answers
Answered by
bobpursley
Using Pythagorean theorm,
length^2=b^2+ h^2
where b is the base length, and h is the height.
Taking the derivative..
0=2b db/dt + 2h dh/dt
you are given db/dt, solve for dh/dt
For the second part, you will have to find b and h at 30 sec. b will be .40*30, solve for h, and again, you have it.
length^2=b^2+ h^2
where b is the base length, and h is the height.
Taking the derivative..
0=2b db/dt + 2h dh/dt
you are given db/dt, solve for dh/dt
For the second part, you will have to find b and h at 30 sec. b will be .40*30, solve for h, and again, you have it.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.