Answer:
111.58 feet
Step-by-step explanation:
Given that the length of the string (AB in the attached diagram) is 120 feet.
Selena (at point D) is standing 24 feet from point A, where the kite is attached to the ground.
Since the kite is directly above Selena's head, the problem forms a right triangle.
Using Pythagoras theorem
[tex]|AB|^2=|BD|^2+|AD|^2\\120^2=|BD|^2+24^2\\|BD|^2=120^2-24^2\\|BD|^2=13824\\|BD|=\sqrt{13824} \\|BD|=117.58$ ft[/tex]
Serena's height (CD=6 feet)
The distance of the kite above her head is BC in the drawn diagram.
Therefore:
|BD|=|BC|+|CD|
117.58=|BC|+6
|BC|=117.58-6
|BC|=111.58 feet
The kite is approximately 111.58 feet above Selena's head/
