You are flying a kite at a constant height of 150 ft. The wind blows the kite horizontally to the left at a rate of 25 ft/min. At what rate is the length of the string changing when it is stretched out to 200 ft

The length of the string changing when it is stretched out to 200 ft at rate 16.535 ft/min

Step-by-step explanation:

Refer the attached figure

Height of kite = y = 150 feet

We are given that  The wind blows the kite horizontally to the left at a rate of 25 ft/min. i.e.

We are supposed to find At what rate is the length of the string changing when it is stretched out to 200 ft

z= 200

Using Pythagoras theorem :

Now to find the rate at which the length of the string changing when it is stretched out to 200 ft

Hence The length of the string changing when it is stretched out to 200 ft at rate 16.535 ft/min

54 kilometers per hour

step-by-step explanation:

according to rules:

1 km = 1000 meter

which means that 1 meter = 1/1000 km

1 hour = 3600 second [ as 1 hour = 60 min = 60 *60 seconds ]

which means that 1 second = 1/3600 hour

therefore, 1 kilometer/hour =

thus to convert 15 meter per second to kilometer per hour, we multiply 15 to 3.6 kilometer/hour.

15 meter/second=   which is the required answer.