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

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.