The merry banter at the wedding invariably led to the mentioning of the deaths of the Senciminers. The talks between the woman and Dr Margolin were eventually about the people who died in the war. The protagonist discovered himself being involved in the conversation and was asked about the deaths of his family members.

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 questions:
(iii) (b) If the foot of the ladder, whose length is 5 m, is being pulled towards the wall such that the rate of decrease of distance \( y \) is \( 2 \, \text{m/s} \), then at what rate is the height on the wall \( x \) increasing when the foot of the ladder is 3 m away from the wall?