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Related rates kite

  1. Oct 13, 2009 #1
    1. The problem statement, all variables and given/known data

    A kite 100 ft above the ground moves horizontally at a speed of 8 ft/s. At what rate is the angle between the string and the horizontal decreasing when 200 ft of string has been let out?

    2. Relevant equations

    3. The attempt at a solution

    I have done the pythagreon therom and found the horizontal to be 173.2050808

    Aside from that i am lost can someone help get me started?
  2. jcsd
  3. Oct 13, 2009 #2


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    Science Advisor

    The Pythagorean theorem doesn't tell you anything about the angle. Since the height is opposite the angle the line makes with the horizontal on the ground, and the length of the string is the hypotenuse, use the definition of sine.
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