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.

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,

Let the length of string released be s m

In right triangle using pythagoreous theorem

For s = 60 m ,

m

Differentiate the equation    w.r.t  t

m/s

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