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.

A kite flying in the air has an 11ft 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 class=

Respuesta :

Step-by-step explanation:

All we have to do is apply the Pythagorean theorem which states that +=

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]