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Calculus word problem

  1. Aug 4, 2015 #1
    • Member warned about posting with no template and nearly no effort
    Question: Suppose a 15-foot ladder is sliding down a vertical wall, with the bottom of the ladder sliding away from the wall at a rate of 2 feet per minute. Sketch a picture of the situation, with labels x and y indicating horizontal and vertical distances, respectively. Then find the rate at which the ladder is sliding down the wall when the bottom of the ladder is 9 feet from the base of the wall.

    pretty sure I should use Pythagoras theorem to solve and solve but could use some help on how to figure this out. Thank you
  2. jcsd
  3. Aug 4, 2015 #2
    Let distance of bottom of ladder from base of wall at any time be x . Then , let height of ladder be y .

    Write pythagoras theorem . Differentiate ( You know x , dx/dt and y ) .
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