Through this satirical story the author has rightly portrayed how human beings have subjected innocent animals to untold torture and death, merely to fulfill their own whims and fancies. The maharaja’s indiscriminate killing of tigers led to their extinction in some states, but the maharaja was oblivious to the grave consequences his action was leading to. In order to prove an astrologer wrong the maharaja went on a killing spree proving his dominance over the hapless animals.He wished to show his superiority as a human being and exercised his power to kill hundred unlucky tigers.
Not that he faced no dangers. There were times when the bullet missed its mark, the tiger leapt upon him and he fought the beast with his bare hands. Each time it was the Maharaja who won. At another time he was in danger of losing his throne. A high-ranking British officer visited Pratibandapuram. He was very fond of hunting tigers. And fonder of being photographed with the tigers he had shot.
(The Tiger King)

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?