Question

9 ft
10 ft
x

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, $a^2 + b^2 = c^2$, where $c$ is the hypotenuse. Here, $a=9$, $b=x$, $c=10$.
$9^2 + x^2 = 10^2$

Step2: Calculate squared values

$81 + x^2 = 100$

Step3: Isolate $x^2$

$x^2 = 100 - 81$
$x^2 = 19$

Step4: Solve for $x$

$x = \sqrt{19}$

Answer:

$\sqrt{19}$ ft (or approximately 4.36 ft)