Posted by **Tim** on Wednesday, May 1, 2013 at 3:03pm.

A 17 foot ladder is placed against a wall. if the foot of the ladder is pushed toward the wall at 0.5 feet per second, how fast is the top of the ladder rising when the foot is 8 feet from the wall?

- Elements of Calc. -
**Steve**, Wednesday, May 1, 2013 at 3:15pm
at the moment in question, the height is 15. If the base of the ladder is x from the wall, and the height is y,

x^2+y^2 = 17^2

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

2(8)(-.5) + 2(15) dy/dt = 0

dy/dt = 4/15

## Answer This Question

## Related Questions

- Calculus - A 10 foot ladder leans against a 20 foot wall. Someone begins pushing...
- Calculus - related rates: a ladder, 12 feet long, is leaning against a wall. if ...
- Calculus - A 17 foot ladder is leaning against a wall. The bottom of the ladder...
- Calculus - a 5m ladder rests against a vertical wall. The top of the ladder ...
- MAth - A 13 foot ladder is resting against the wall. The bottom is initially 10 ...
- Analytical Geometry - A 10 foot long ladder is leaning against a vertical wall ...
- Calculus - The top of a 24 foot ladder, leaning against a vertical wall, is ...
- math - A ladder 10 m long rests on horizontal ground and leans against a ...
- Calculus - A ladder 15 feet long leans against a vertical wall. Supppose that ...
- Calculus Ab - A 26 foot step ladder is leaned up against a 30 foot building to ...

More Related Questions