Once kate's kite reaches a height of 60 ft (above her hands), it rises no higher but drifts due east in a wind blowing 4 ft divided by s. how fast is the string running through kate's hands at the moment that she has released 106 ft of string?

The string is running through Kate's hand at 13.19 ft/ sec.

Step-by-step explanation:

Since we know that

y = 60 feet

dx = 4 ft/sec

z=106 feet

we need to find the value of dz.

Hence, the string is running through Kate's hand at 13.19 ft/ sec.

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.