The doctor tried his best to save the injured soldier as a part of his duty. But the ultimate question was what to do next. It cannot be said that he betrayed his country as he told the truth to the General. However ,when he noticed that the soldier was to be killed not for the benefit of the country but only to save the doctor’s life, he decided to help him flee. In such a situation, the doctor's final solution to the problem was the best possible one.
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?