Respuesta :

Answer:

6.7 ft

Step-by-step explanation:

Use pythagorean theorem:

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

where c is the hypotenuse of the triangle

[tex] {a}^{2} + {6}^{2} = {9}^{2} [/tex]

[tex] {a}^{2} + 36 = 81[/tex]

[tex] {a}^{2} = 45[/tex]

[tex]a = \sqrt{45} [/tex]

[tex]a = 6.7[/tex]