Answer:
39.6 ft.
Explanation:
Height of the top of the goal post would be x + 5.5
So for we need to calculate x first,
For x:
![tan\ \theta = (perpendicular)/(base)\\\\tan\ 61=(x)/(20)\\\\20*tan61=x\\\\x=20*1.732\\\\x=34.64\ ft](https://img.qammunity.org/2021/formulas/mathematics/high-school/46opx2z9v7go8a751b0837vknfw21htl3i.png)
So height of the top of the goal post would be 34.64 + 5.5 which is
39.64 ft. rounding it to nearest tenth would be 39.6ft.
I attached an image too as well check it out.