anonymous
  • anonymous
. A 25 ft ladder is leaning against a vertical wall. The bottom of the ladder is pulled horizontally away from the wall at 3 ft/sec. Determine how fast the top of the ladder is sliding when the bottom of the ladder is 15 ft from the wall. A) –4 ft/sec B) –2.25 ft/sec C) –13.375 ft/sec D)–12.25 ft/sec E) –0.75 ft/sec
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
first write the position of the top as a function of the position of the bottom
anonymous
  • anonymous
How do I do that? please explain in detail
anonymous
  • anonymous
although if you don't have to show your work, you can just guess the sensible answer

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anonymous
  • anonymous
Put the bottom of the ladder at (x,0) and the top of the ladder at (0,y). How would you write the constraint requirement that the ladder is length 25?
anonymous
  • anonymous
Hint.|dw:1326760267836:dw|
anonymous
  • anonymous
pathagoren Theorem?
anonymous
  • anonymous
Yes, sounds true to me
anonymous
  • anonymous
So then I take the derivative of the Theorem?
anonymous
  • anonymous
Yes, if you're in the Implicit Differentiation section. If you want to do it a longer easier way, just write y as a function of x, then replace x by (3t) because x(t) = 3t and differentiate your y(t) with respect to t at time t=5 because x=15.
anonymous
  • anonymous
so should my derivative read \[dy/dx=(-2x+2c)/(2y)\] ?

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