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-
\(\Rightarrow \text{Hypotenuse}^2=\text{Base}^2+\text{Perpendicular}^2\)
Here,
Hypotenuse = x ft
Base = 17 ft
Perpendicular = 11 ft
Putting the values,
\(\Rightarrow x^2=17^2+11^2\)
\(\Rightarrow x^2=289+121\)
\(\Rightarrow x^2=410\)
\(\Rightarrow x=\sqrt{410}\)
\(\Rightarrow x=20.2\ ft\)
Therefore, the missing length to the nearest tenth is 20.2 ft.
