Letter of Invitation
Your Brother’s Name
Brother's Address
Dear Brother,
I am thrilled to inform you that I have recently completed the construction of my new home in the serene hills of Uttarakhand. It would mean so much to me if you and your family could spend a few days with us and enjoy the tranquility of the mountains. The house is located in a beautiful spot with breathtaking views of the valley. I have planned some exciting activities for your visit, including trekking, sightseeing, and relaxing amidst nature. Please let me know a suitable time for your visit. I look forward to hosting you all.
Warm regards,
Srikanth Sharma

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?