A child flies a kite at a height of 100 ft, the wind carrying the kite horizontally away from the child at a rate of 52 ft/sec. How fast must the child let out the string when the kite is 260 ft away from the child? Let x represent the horizontal distance through which the kite is blown and let y represent the distance between the child and the kite. Write the equation that relate these rates. dy dt dx (Type an expression using x and y as the variables.) dt