A 10-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 0.7 ft/s. How fast is the top of the ladder sliding down the wall when the foot of the ladder is 6 fn from the wall? 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. Differentiate both sides of the equation with respect to t When the foot of the ladder is 6 t from the wall, the top of the ladder is sliding down the wall at a rate of (Round to two decimal places as needed) Enter your answer in each of the answer boxes.

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Chapter3: Polynomial Functions
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A 10-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 0.7 ft/s. How fast is the top of the ladder sliding down the wall when the foot of the ladder is 6 ft from the wall?
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.
Differentiate both sides of the equation with respect to t.
dt
When the foot of the ladder is 6 ft from the wall, the top of the ladder is sliding down the wall at a rate of
(Round to two decimal places as needed.)
Enter your answer in each of the answer boxes.
Transcribed Image Text:A 10-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 0.7 ft/s. How fast is the top of the ladder sliding down the wall when the foot of the ladder is 6 ft from the wall? 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. Differentiate both sides of the equation with respect to t. dt When the foot of the ladder is 6 ft from the wall, the top of the ladder is sliding down the wall at a rate of (Round to two decimal places as needed.) Enter your answer in each of the answer boxes.
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