SOLUTION: The horizontal distance of a kite from the boy flying it is 30 m and 50 m of cord is out from the roll. If the wind moves the kite horizontally at the rate of 5 km per ho

Question 285512: The horizontal distance of a kite from the boy flying it is 30 m and 50 m of cord is out from the roll. If the wind
moves the kite horizontally at the rate of 5 km per hour directly away from the boy, how fast is the cord being
released?
Answer by Greenfinch(383) (Show Source): You can put this solution on YOUR website!
If the horizontal distance is 30m and the string is 50m, the vertical distance is 40m (3,4,5 triangle).
Kite is moving away at 5000/3600 horizontally (in m/s)
Ratio of string extension to horizontal distance is 5 to 3
So 5000/3600 = 1.39 m/s
String released at (5/3)x 1.39 = 2.32 m/s (Roughly 2 1/3 m/s)
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