A kite flying in the air has an 11-ft line attached to it. Its line pulled taut and casts a 9 -ft shadow. Find the height of the kite. If necessary, round your answer to the nearest tenth.

Step-by-step explanation:
All we have to do is apply the Pythagorean theorem which states that a²+b²=c²
where c is the hypotenuse of the triangle or the side facing the 90° angle.
Moreover a & b are the other two sides of the triangle.
[tex]11 {}^{2} = {9}^{2} + h {}^{2} [/tex]
where h is the height from the ground
[tex]121 = 81 + {h}^{2} [/tex]
[tex]h {}^{2} = 121 - 81[/tex]
[tex]h {}^{2} = 40[/tex]
[tex]h = \sqrt{40} = 6.324[/tex]
Rounding to the nearest tenth,
[tex]h = 6.3[/tex]