Dr Margolin did not accept nor appreciate the kind of life the American Jewish community led. Jewish laws and customs were utterly distorted, according to him. He did not like their celebrations, and he felt annoyed and irritated. Those who had no regard for Jewishness wore skullcaps. He disliked Anglicised Yiddish, the Yiddishised English, the ear-splitting music and the unruly way of dance. He felt ashamed and did not like taking his wife to a wedding or any such gatherings.

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?