We are given a right triangle with leg $a = 45$ yards and hypotenuse $c = 75$ yards. We need to find the length of the other leg, $b$, and round to the nearest tenth if necessary.

1. Problem Description

We are given a right triangle with leg $a = 45$ yards and hypotenuse $c = 75$ yards. We need to find the length of the other leg, $b$, and round to the nearest tenth if necessary.

2. Solution Steps

We can use the Pythagorean theorem to solve for $b$:

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

We are given $a = 45$ and $c = 75$. Substitute these values into the equation:

$45^2 + b^2 = 75^2$

Calculate the squares:

$2025 + b^2 = 5625$

Subtract $2025$ from both sides of the equation to isolate $b^2$:

$b^2 = 5625 - 2025$

$b^2 = 3600$

Take the square root of both sides to find $b$:

$b = \sqrt{3600}$

$b = 60$

Since we are asked to round to the nearest tenth if necessary, we can write 60 as 60.

0.

3. Final Answer

$b = 60.0$ yards