Monday

September 1, 2014

September 1, 2014

Posted by **Grant** on Friday, May 3, 2013 at 8:35am.

vertical wall. The foot of the ladder is pulled away from the wall at 2

m/s. How fast is the top sliding down the wall when the foot of the

ladder is 6m from the wall?

- math -
**Reiny**, Friday, May 3, 2013 at 9:42amx^2 + y^2 = 100 , where x is the base, y the height

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

given: dx/dt = 2 , and x = 6

then 36+y^2 = 100

y^2 = 64

y = 8

in

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

2(6)(2) + 2(8)dy/dt = 0

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

it is sliding down at 3/2 m/sec

**Related Questions**

Calculus - a 5m ladder rests against a vertical wall. The top of the ladder ...

Maths - a ladder 25ft long leans against a wall with its foot on level ground ...

math - a ladder 6 meters long leans against a wall. It rests on the ground 1 ...

Calculus 1 - A ladder 10ft long rests against a vertical wall. If the bottom on ...

Calculus - related rates: a ladder, 12 feet long, is leaning against a wall. if ...

Calculus - A ladder 10 ft long rests against a vertical wall. If the bottom on ...

Maths - A ladder, 6m long rests against a wall. The foot of the ladder is 2.5m ...

Math - a ladder 10 ft long rests against a vertical wal. if the bottom of the ...

Math - A ladder 10 ft long rests against a vertical wall. If the bottom of the ...

Pre-Calculus - A ladder leans leans against a building that has a wall slanting ...