The 'trees in their autumn beauty', 'dry woodland paths', 'October twilight', and 'still sky' all indicate the poet's loneliness and old age. Autumn is the season where trees decay and shed their leaves. The woodland remains dry and barren, and there would be no new life evolving until it rains. Though the twilight is the most beautiful part of the day, it lasts for a brief period and traverses into the long darkness of night. The stillness of the sky is when there is no movement in the body, comparing it to the coldness of death. So, the poet's imagination is closely associated with the poet's old age and the setting in sadness and loneliness.

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?