Answer:
444.09 ft
Step-by-step explanation:
The system can be modeled by a right triangle with the length of string being the hypotenuse and the height of the kite being the side opposite to the 65-degree angle. The height of the kite is given by:
[tex]sin(65) = \frac{h}{490}\\ h = 444.09\ ft[/tex]
The kite is 444.09 ft high.
