a child flies a kite at the height of 300 feet and the wind carries the kite horizontally at a rate of 100 ft/second. How fast the child play out string when the kite is 500 feet from him?
Please give me different ways to solve this problem?

Question

a child flies a kite at the height of 300 feet and the wind carries the kite horizontally at a rate of 100 ft/second. How fast the child play out string when the kite is 500 feet from him? 
Please give me different ways to solve this problem?

owlfred · Answer

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anonymous · Answer

L is length of string

L = root(H^2 + X^2)
dL/dt = 0.5 x 2XdX/dt x 1/ root(h^2 + X^2)

anonymous · Answer

X is 400, as L is 500 and H is 300

anonymous · Answer

400 x 100/500

anonymous · Answer

80 ft/s