05.10.2021

Agirl flies a kite at a height 34 m above her hand. if the kite flies horizontally away from the girl at the rate of 3 m/s, at what rate is the string being let out when the length of the string released is 60 m? assume that the string remains taut.

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30.05.2023, solved by verified expert
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2.47 m/s

Step-by-step explanation:

A girl flies a kite at a height 34 m above her hand.

It is vertical height of kite, 34 m

The horizontal rate of kite, Agirl flies a kite at a height 34 m above her, №16484264, 05.10.2021 03:51

Let the length of string released be s m

In right triangle using pythagoreous theorem

Agirl flies a kite at a height 34 m above her, №16484264, 05.10.2021 03:51

For s = 60 m ,

Agirl flies a kite at a height 34 m above her, №16484264, 05.10.2021 03:51

Agirl flies a kite at a height 34 m above her, №16484264, 05.10.2021 03:51 m

Differentiate the equation  Agirl flies a kite at a height 34 m above her, №16484264, 05.10.2021 03:51  w.r.t  t

Agirl flies a kite at a height 34 m above her, №16484264, 05.10.2021 03:51

Agirl flies a kite at a height 34 m above her, №16484264, 05.10.2021 03:51

Agirl flies a kite at a height 34 m above her, №16484264, 05.10.2021 03:51

Agirl flies a kite at a height 34 m above her, №16484264, 05.10.2021 03:51 m/s

Hence, the rate of string letting out 2.47 m/s


Agirl flies a kite at a height 34 m above her, №16484264, 05.10.2021 03:51
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Mathematics
Step-by-step answer
P Answered by PhD

2.47 m/s

Step-by-step explanation:

A girl flies a kite at a height 34 m above her hand.

It is vertical height of kite, 34 m

The horizontal rate of kite, \dfrac{dx}{dt}=3/ m/s

Let the length of string released be s m

In right triangle using pythagoreous theorem

s^2=34^2+x^2

For s = 60 m ,

60^2=34^2+x^2

x=49.44 m

Differentiate the equation  s^2=34^2+x^2  w.r.t  t

2s\dfrac{ds}{dt}=0+2x\dfrac{dx}{dt}

2\cdot 60\cdot \dfrac{ds}{dt}=2\cdot 49.44\cdot 3

\dfrac{ds}{dt}=\dfrac{296.62}{120}

\dfrac{ds}{dt}=2.47 m/s

Hence, the rate of string letting out 2.47 m/s


Agirl flies a kite at a height 34 m above her hand. if the kite flies horizontally away from the gir
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The answer is in the image 
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Here,

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=(6/100)*1800

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The solution is given in the image below

The solution is given in the image below
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Here,

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P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

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