Respuesta :

Answer:

39.6 ft.

Step-by-step explanation:

Height of the top of the goal post would be x + 5.5

So for we need to calculate x first,

For x:

[tex]tan\ \theta = \frac{perpendicular}{base}\\\\tan\ 61=\frac{x}{20}\\\\20*tan61=x\\\\x=20*1.732\\\\x=34.64\ ft[/tex]

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.

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