Practice variation 3 of 3
Rates of change — A sliding ladder
Your question
A 10 m ladder has base moving away from a wall at m/s. How fast is its top falling when the base is m from the wall?
This practice question was inspired by Question 12(a) in the 2025 NSW HSC Mathematics Extension 1 examination, © NESA. It is an original TestMum variation that practises the same mathematical idea, not an official NESA question.
Before you check
- Have you stated every choice or assumption?
- Can another student follow each line?
- Did you verify the final result independently?