Question

Question 10: A ladder 13 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 2 ft/s, how fast is the top of the ladder sliding down the wall when the bottom of the ladder is 5 ft from the wall?

Answer 1

from the given data,

from the above figure,

now,

put x = 5, y = 12 and dx/dt = 2,

the top of the ladder sliding down at rate of 0.83333 ft/s