A ladder 10ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 1 ft/s, how fast is the top of the ladder sliding down the wall when the bottom of the ladder is 6ft from the wall?
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OpenStudy (diamondboy):
Hi.
OpenStudy (anonymous):
Hello
OpenStudy (diamondboy):
how good are ur derivatives skillz?
OpenStudy (anonymous):
kind of good, but not a lot.
OpenStudy (diamondboy):
|dw:1424836861463:dw|
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OpenStudy (diamondboy):
we would need dat image
OpenStudy (anonymous):
ah, i see
OpenStudy (diamondboy):
we need an equation to find y since our x is 6
OpenStudy (diamondboy):
do u know d equation?
OpenStudy (anonymous):
no
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OpenStudy (diamondboy):
okay we would use pythgoras
OpenStudy (diamondboy):
y^2+x^2=10^2
OpenStudy (anonymous):
I see. The sides of the triangle are basically the x and y, so that how you got the equation
OpenStudy (diamondboy):
yep
OpenStudy (anonymous):
So this is the main function
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OpenStudy (diamondboy):
yep
OpenStudy (diamondboy):
so do u have a value for y?
OpenStudy (anonymous):
we will have to find the derivative and then put x = 6 in it to find the answer?
OpenStudy (diamondboy):
wait before we do dat we need to look for y using d normal Pythagoras
OpenStudy (anonymous):
can I take a random Y?
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