Respuesta :

Answer:

9.21 (3sf)

Step-by-step explanation:

11^2 - 6^2 = 85

root 85 = 9.21 (3sf)

Answer:

x = 9.21 ft

Step-by-step explanation:

This is a right angled triangle as you can see the symbol that shows this, meaning to find x we can use pythagoras theory:

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

We need to find one of the sides so rearrange the equation so the subject is a or b:

[tex]a^2 = c^2 - b^2[/tex]

Plug the values in:

[tex]a^2 =11^2 - 6^2[/tex]

[tex]a^2 =121 - 36[/tex]

[tex]a^2 = 85[/tex]

Square root both sides to find a:

[tex]\sqrt{a^2} = \sqrt{85}[/tex]

a = [tex]\sqrt{85}[/tex]

a = 9.21

x = 9.21

Hope this helps!

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