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

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

its 50 miles away from the starting point