Question

a ladder 6m long is leaning against a wall. if the top of th ladder is slipping down at th rate of 13 m/s, how fast is the bottom moving away from the wall when it is 5m from the wall?
(answer in m/s)

Please Help Before 230 pm central time

Answer 1

if top is at height h and base is at distance x,

x^2 + h^2 = 36
when x=5, h=√11

2x dx/dt + 2h dh/dt = 0
2(5) dx/dt + 2(√11)(-13) = 0
dx/dt = 13√11/5 = 8.6 m/s