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 the child? Let y 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 xp (Type an expression using x and y as the variables.) dt dy dt

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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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 awway
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 relates these rates
dy
dt
dx
(Type an expression using x and y as the variables.)
dt
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 awway 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 relates these rates dy dt dx (Type an expression using x and y as the variables.) dt
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