Chapter 11.4, Problem 34E

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11th Edition

Ronald J. Harshbarger + 1 other

ISBN: 9781305108042

Textbook Problem

** Flight** A kite is 30 ft high and is moving horizontally at a rate of 10 ft/min. If the kite string is taut, at what rate is the string being played out when 50 ft of string is out?

To determine

**To calculate:** The rate at which the string is being played out when

Explanation

**Given Information:**

A kite is

**Formula used:**

According to the Pythagoras theorem,

Where

According to the chain rule differentiation, if *y* is a differentiable function of *x.*

The derivative of a constant value, *k*, is

According to the sum rule of differentiation, if a function is of the form

**Calculation:**

As it is provided that a kite is

Thus, this arrangement can be considered as a right angled triangle with the length of the string be the hypotenuse of the triangle and the horizontal distance be the base and height of the kite be the altitude/height of the triangle

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