Posted by Jacob on Tuesday, June 29, 2010 at 1:36pm.
A 16ft ladder is sliding down a wall as shown in the figures below. The variable h is the height of the ladder's top at time t, and x is the distance from the wall to the ladder's bottom. Suppose that the top is sliding down the wall at a rate 5 ft/s. Calculate dx/dt when h = 10. Give your answer correct to two decimal places.
dx/dt = ? ft/s

math  Henry, Tuesday, June 29, 2010 at 3:34pm
The ladder forms a rt. triangle with the wall and ground. The wall is the
height.When the height is 10ft,
X^2+10^2=16^2, X=12.49ft. When h goes to zero(ladder flat on ground),
X^2+0^2=16^2, X=16, t=10ft/5ft/s=2sec.
dx/dt=(1612.49)ft/2s=1.75ft/s
Answer This Question
Related Questions
 Calculus  1a. 15 ft ladder is placed against a vertical wall. the bottom of the...
 Calculus  A 15 ft ladder is placed against a vertical wall. the bottom of the ...
 algebra  A ladder is resting against a wall. The top of the ladder touches the ...
 Calculas  A 13ft ladder is placed against a verticle wall. Suppose the bottom ...
 calculus  : A 20m ladder is placed against a wall. The bottom of the ladder is ...
 caculus  A 10ft ladder rests against a vertical wall. If the bottom of the ...
 math solving quadratic equations by factoring  a ladder is resting against a ...
 calculus  A 15ft ladder rests against a vertical wall. If the top of the ...
 AP calc bc  A 25ft ladder rests against a vertical wall. If the bottom of the ...
 calculus  A 25ft ladder rests against a vertical wall. If the bottom of the ...
More Related Questions