Posted by **Jacob** on Tuesday, June 29, 2010 at 1:36pm.

A 16-ft 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=(16-12.49)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 ...
- Calculus! - A 16 ft. ladder leans against a wall, with the top being 12 ft. from...
- 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 ...
- mathematic - A ladder 10 meter long is leaning against a wall. If the top of ...
- math- solving quadratic equations by factoring - a ladder is resting against a ...
- caculus - A 10-ft ladder rests against a vertical wall. If the bottom of the ...
- Math - A ladder leans against a vertical wall and the top of the ladder is ...
- Math - Suppose there is a 10 meter ladder leaning against the wall of a building...

More Related Questions