A child flies a kite at a height of 150 ft, the wind carrying the kite horizontally away from the child at a rate of 78 ft/sec. How fast must the child let out the string when the kite is 390 ft away from 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 relates these rates. dy x dx (Type an expression using x and y as the variables.) y dt dt The child must let out the string at a rate'of V when the kite is 390 ft away from the child. (Simplify your answer.)

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.8: Rate-time-distance Problems
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A child flies a kite at a height of 150 ft, the wind carrying the kite horizontally away from the child at a rate of 78 ft/ sec. How fast must the child let out the string when the kite is 390 ft away from
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 relates these rates.
dy
x dx
(Type an expression using x and y as the variables.)
y dt
dt
The child must let out the string at a rate of
V when the kite is 390 ft away from the child.
(Simplify your answer.)
Transcribed Image Text:A child flies a kite at a height of 150 ft, the wind carrying the kite horizontally away from the child at a rate of 78 ft/ sec. How fast must the child let out the string when the kite is 390 ft away from 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 relates these rates. dy x dx (Type an expression using x and y as the variables.) y dt dt The child must let out the string at a rate of V when the kite is 390 ft away from the child. (Simplify your answer.)
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