The length of the missing side is approximately 18.7 yd, rounded to the nearest tenth.
To find the length of the missing side of a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, we are given two sides of a right triangle: 15 yd and 24 yd. Let x be the length of the missing side. Then we have:
x^2 = 24^2 - 15^2
x^2 = 576 - 225
x^2 = 351
x ≈ 18.7
Therefore, the length of the missing side is approximately 18.7 yd, rounded to the nearest tenth.