contestada

A 12 foot laddr is leaning against a vertical wall when jack beings pulling the foot ladder away from the wall at a rate of 0.2 ft/s. What is the configuration of the ladder at the instant that vertical speed of the top of the ladder equals the horzontal speed of the foot of the ladder?

Relax

Respuesta :

Answer:

Step-by-step explanation:

Given that a 12 foot laddr is leaning against a vertical wall when jack beings pulling the foot ladder away from the wall at a rate of 0.2 ft/s

Let x be the horizontal leg and y the vertical leg

Then by Pythagorean theorem, we get

[tex]x^2+y^2 = 12^2\\[/tex]

Differentiate to get

[tex]2x x'+2y y'=0\\[/tex]

when both x' and y' equal to 0.2 in magnitude, we can say x'=-y'

so

x=y

The ladder will be in a position such that its height and distance of foot from base are equal.

Otras preguntas