We are given a right triangle with hypotenuse $c = 8.8$ ft and one leg $a = 8.3$ ft. We need to find the length of the other leg $b$, rounded to the nearest tenth.

1. Problem Description

We are given a right triangle with hypotenuse $c = 8.8$ ft and one leg $a = 8.3$ ft. We need to find the length of the other leg $b$, rounded to the nearest tenth.

2. Solution Steps

We will use the Pythagorean theorem:

$a^2 + b^2 = c^2$

We are given $a = 8.3$ and $c = 8.8$, and we want to find $b$.

$8.3^2 + b^2 = 8.8^2$

$68.89 + b^2 = 77.44$

$b^2 = 77.44 - 68.89$

$b^2 = 8.55$

$b = \sqrt{8.55}$

$b \approx 2.9240383$

Rounding to the nearest tenth, we get $b \approx 2.9$.

3. Final Answer

2.9