We can use Pythagora's theorem to find the missing length of the right angled triangle;
Remember that Pythagora's theorem states that in a right angled traingle, the square on the hypotenuse is equal to the sum of squares on the other two sides of the triangle;
Let's call the unknown side x, so our equation will then be;

Let's isolate x by subtracting 484 from both sides of the equation;

We can now take the square root of both sides;
![\begin{gathered} x=\sqrt[]{1197} \\ \therefore x=34.6 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ufl36w876e30r4cxms31kfvt0hz5wqotn2.png)
Therefore, the length of the missing side to the nearest tenth is 34.6yd.