Mathematics > calculus > Application Of Derivatives

Case Study - 2 A ladder of fixed length 'h' is to be placed along the wall such that it is free to move along the height of the wall.

Based upon the above information, answer the following question: (i) Express the distance ($y$) between the wall and foot of the ladder in terms of '$h$' and height ($x$) on the wall at a certain instant. Also, write an expression in terms of $h$ and $x$ for the area ($A$) of the right triangle, as seen from the side by an observer.