Dr Sadao Hoki was an eminent Japanese surgeon and scientist. He had spent eight valuable years of his youth in America to learn everything of surgery and medicine. He was trying to bring perfection to medical science and discover a drug which would·heal wounds entirely . Dr Sadao's house was built on rocks well above a narrow beach that was outlined with bent pines. It was near the Japanese coast.
How did Dr. Sadao plan the American prisoner’s escape? (The Enemy)

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?