Aladder 26 feet long leans against a wall. the foot of the ladder is being drawn away from the wall at a rate of 4 ft/sec. how fast is the top of the ladder sliding down the wall at the instant when the foot of the ladder is 10 ft from the wall?

1.67 m/s

Explanation:

Given

length of ladder L=26 feet

velocity with which bottom is withdrawn is 4 ft/s

when bottom of ladder is at a distance of 10 ft away from wall then top of ladder from bottom is given by

from diagram

Differentiate w.r.t time we get

at x=10 ft, y=24 ft

the ima (higher than 1m) will be greater than the ima with the height of 1m.