The top of a 25-foot ladder is sliding down a wall at a rate of 3 feet per second. When the top of the ladder is 15 feet from the ground, what is the rate of change between the bottom of the ladder and the wall?

1.8ft/s

Step-by-step explanation:

Using the formula for calculating Speed as shown:

Speed = Distance/Time

Time = Distance/Speed

t = d/s

Given

d1 = 25 foot

s1 = 3ft/s

d2 = 15ft

Required

s2

Using the formula;

d1/s1 = d2/s2

s2 = s1d2/d1

s2 = 3*15/25

s2 = 45/25

s2 = 1.8ft/s

Hence the rate of change between the bottom of the ladder and the wall is 1.8ft/s