Question

Question Help 3.11.41 A 25-foot ladder is leaning against a vertical wall (see figure) when Jack begins pulling the foot of the ladder away from the wall at a rate of 06 t/s How fast is the top of the ladder sliding down the wall when the foot of the ladder is 7 it from the wall? 25 ft Let x be the distance from the foot of the ladder to the wall and let y be the distance from the top of the ladder to the ground. Write an equation relating x and y. x² + y² = 25² Differentiate both sides of the equation with respect to t d! When the foot of the ladder is 7 it from the wall the top of the ladder is sliding down the wall at a rate of (Round to two decimal places as needed.) ich Check Answer

Answer 1

Saathi Date -I-I Notebooks et " re 2 ey2= 252 Dippe wiride + 2y dy zo 20 dae dt dt die at 0,6 fH15 when net from x de are dt -y do dt 4 y² = y2 = 25² - 2 y = 252-7? Y = √576 y = 24 ! wowej v dr dy dt y dt off 7x 244 To 0.175 dy at The top of is sliding down top of the ladder the wall a rate of 0.175 fts Page No.