Question

a ladder 6 m long leans against a vertical wall. The lower end of the ladder is moved away from he wall at the rate of 2 m/min. Find the rate of change of the area formed by the wall, the floor and the ladder when the lower end is 4 m from the wall.

please help

Answer 1

It doesnt seem right for some reason

Answer 2

can you think of an equation that connects l and b in your drawing?

Answer 3

A=1/2 bh

Answer 4

Using the pythagorean theorem, we can find the rate of change for everything moving

Answer 5

oh boy a ladder problem :)

Answer 6

what is the area if the base?

Answer 7

is 4

Answer 8

You don't necessarily need to know that. You're simply looking for \(\dfrac{dl}{dt}\) when \(x=4\)

Answer 9

how?

Answer 10

Pythagoreas

Answer 11

The area is constantly changing w.r.t time as the ladder moves down the wall

Answer 12

This question you are doing right now, will make or break your mathematical career

Answer 13

Dan... -_-

Answer 14

there's no change in y right? the ladder?

Answer 15

\[\frac{ dx }{ dt } = 2\] I thought this