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 0.6 ft/s. How fast is the top of the ladder sliding down the wall when the foot of the ladder is 8 ft from the wall? 10 ft Lot v b o the dictanco from tbo foot of the laddor to the wall and lot v bo the distanco from tho ton of the laddor to the ground Writo an oguation rolating v and v
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 0.6 ft/s. How fast is the top of the ladder sliding down the wall when the foot of the ladder is 8 ft from the wall? 10 ft Lot v b o the dictanco from tbo foot of the laddor to the wall and lot v bo the distanco from tho ton of the laddor to the ground Writo an oguation rolating v and v
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
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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
0.6 ft /s. How fast is the top of the ladder sliding down the wall when the foot of the ladder is 8 ft from the wall?
10 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
= 100
Differentiate both sides of the equation with respect to t.
dx
dy
= 0
dt
dt
When the foot of the ladder is 8 ft from the wall, the top of the ladder is sliding down the wall at a rate of 0.80 ft/s.
(Round to two decimal places as needed.)
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