Thursday

April 24, 2014

April 24, 2014

Posted by **Anonymous** on Tuesday, March 15, 2011 at 9:45pm.

- Calculus -
**MathMate**, Tuesday, March 15, 2011 at 10:34pmLet:

h = the height of the fence is 6'.

x = distance of the base of the ladder from the fence

t = length of ladder between top of fence and the ground

= sqrt(h²+x²)

L = length of ladder

y = Height of top of ladder from the ground

From similar triangles,

h/t = y/L

or

y=Lh/t=Lh/sqrt(h²+x²) ..(1)

dx/dt=5'/min.

dy/dt=(dy/dx)*(dx/dt) ..(2)

So differentiate (1) to get dy/dx and substitute in (2).

**Related Questions**

Calculus - A 25 foot ladder is leaning on a 9 foot fence. The base of the ladder...

Calculus - A 23 foot ladder is leaning on a 6 foot fence. The base of the ladder...

Math Calculus - The foot of a 30-foot ladder is being pulled away from a ...

Calculus - Mr. Cook was painting Arvada West High School, standing on top of a ...

Calculus - Mr. Cook was painting Arvada West High School, standing on top of a ...

calculus - A 13 foot ladder leaning against a wall makes an angle of degree ...

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

Calculus--Please Help! - A 13-foot ladder is leaning against a vertical wall. If...

College Calculus - A 13-foot ladder is leaning against a vertical wall. If the ...

AICE math - A 30 foot ladder is leaning against a house(see figure). if the base...