The height of the kite is 4.89 feet
Explanation
The length of the line attached to the kite=7 feet
The length of the shadow that is cast on the ground=5 feet
the system forms a right angled triangle where the taught string of the kite is the hypotenuse, the shadow is the base and the height of the kite above the ground is the height.
H=7 feet
b=5 feet
using pythagoras theorem
[tex]h^2+b^2=H^2\\h^2=H^2-b^2\\h^2=7^2-5^2\\=49-25\\=24\\h=\sqrt{24\\} =2\sqrt{6} \\=4.89 feet[/tex]
The kite is 4.89 feet above the ground
