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Math Help - Related Rates problem.

  1. #1
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    Related Rates problem.

    Could someone verify my answer for this question?

    13m ladder is leaning against a wall.
    If the top of the ladder slips down the wall at a rate of 2m/s.
    How fast will the foot be moving away from the wall when the top is 5m from the ground?

    My answer:

    use pythagoras to set up equation x^2 + y^2 = 13^2

    Then I differentiate this implicitly and get the equation 2x dx/dt + 2y dy/t = 0

    Then I fill in the values and get 5/6 m/s.

    Is this correct?
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  2. #2
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    Re: Related Rates problem.

    Quote Originally Posted by raoulduke1 View Post
    Could someone verify my answer for this question?

    13m ladder is leaning against a wall.
    If the top of the ladder slips down the wall at a rate of 2m/s.
    How fast will the foot be moving away from the wall when the top is 5m from the ground?

    My answer:

    use pythagoras to set up equation x^2 + y^2 = 13^2

    Then I differentiate this implicitly and get the equation 2x dx/dt + 2y dy/t = 0

    Then I fill in the values and get 5/6 m/s.

    Is this correct?
    yes
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  3. #3
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    Re: Related Rates problem.

    You sure?., sorry the reason I ask is that this question was considered difficult but it seems too straight forward.
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