Sunday

March 1, 2015

March 1, 2015

Posted by **Stacy** on Wednesday, February 22, 2012 at 4:02pm.

- Calculus -
**Reiny**, Wednesday, February 22, 2012 at 5:10pmLet the ladder be x ft from the wall, and y ft up along the wall

x^2 + y^2 = 20^2

2x dx/dt + 2y dy/dt = 0

x dx/dt + y dy/dt = 0

when x=16 , y^2 = 400-256 ---> y = 12

and dy/dt = -2 ft/sec

16(dx/dt) + 12(-2) = 0

dx/dt = -24/16 = -3/2

the ladder is moving away from the wall at 1.5 ft/s

- Calculus -
**Reiny**, Wednesday, February 22, 2012 at 5:11pmlast two lines should have been

16(dx/dt) + 12(-2) = 0

dx/dt = 24/16 = 3/2

**Answer this Question**

**Related Questions**

calculus - A 20 ft ladder is leaning against the side of a house. If the bottom ...

Calculus - A ladder 15 feet long leans against a vertical wall. Supppose that ...

Calculus - A 17 foot ladder is leaning against a wall. The bottom of the ladder...

Calculus - A ladder 41 feet long that was leaning against a vertical wall begins...

Math- Calculus - A 20 foot ladder is sliding down a vertical wall at a constant ...

Math- Calculus - A 20 foot ladder is sliding down a vertical wall at a constant ...

Math- Calculus - A 20 foot ladder is sliding down a vertical wall at a constant ...

Math- Calculus - A 20 foot ladder is sliding down a vertical wall at a constant ...

calculus - a ladder 6 feet long leans against a vertical building. the bottom of...

Calculus - The top of a 24 foot ladder, leaning against a vertical wall, is ...