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Once Kate's kite reaches a height of 57 ft (above her hands), it rises no higher but drifts due east in a wind blowing
Once Kate's kite reaches a height of 57 ft (above her hands), it rises no higher but drifts due east in a wind blowing 6 ft/s. How fast is the string running through Kate's hands at the moment that she has released 119 ft of string? Let x be the horizontal distance from Kate to the kite and z be the length of the string. Write an equation relating x and z.
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