We are given a right triangle with legs $a$ and $b$ and hypotenuse $c$. We are given that $a = 63$ yards and $c = 87$ yards. We need to find the length of leg $b$, rounding to the nearest tenth if necessary.

1. Problem Description

We are given a right triangle with legs $a$ and $b$ and hypotenuse $c$. We are given that $a = 63$ yards and $c = 87$ yards. We need to find the length of leg $b$, rounding to the nearest tenth if necessary.

2. Solution Steps

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. Thus,

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

We are given $a = 63$ and $c = 87$. We need to find $b$.

Substituting the given values into the Pythagorean theorem, we get

$63^2 + b^2 = 87^2$.

$3969 + b^2 = 7569$.

$b^2 = 7569 - 3969$.

$b^2 = 3600$.

$b = \sqrt{3600}$.

$b = 60$.

3. Final Answer

$b = 60.0$ yards.