Answer-
The missing length to the nearest tenth is 20.2 ft.
Solution-
As given in the question, that the given triangle is a right angle triangle.
Pythagoras Theorem-
[tex]\Rightarrow \text{Hypotenuse}^2=\text{Base}^2+\text{Perpendicular}^2[/tex]
Here,
Hypotenuse = x ft
Base = 17 ft
Perpendicular = 11 ft
Putting the values,
[tex]\Rightarrow x^2=17^2+11^2[/tex]
[tex]\Rightarrow x^2=289+121[/tex]
[tex]\Rightarrow x^2=410[/tex]
[tex]\Rightarrow x=\sqrt{410}[/tex]
[tex]\Rightarrow x=20.2\ ft[/tex]
Therefore, the missing length to the nearest tenth is 20.2 ft.
