Answer:
About 9.1 yards tall.
Step-by-step explanation:
So, we can draw the right triangle shown below:
We want to find h.
Since we know the angle and the side adjacent to the angle and we wan to find the opposite side, we will use the tangent ratio:
[tex]\displaystyle \tan(x^\circ)=\frac{\text{Opposite}}{\text{Adjacent}}[/tex]
So:
[tex]\displaystyle \tan(20)=\frac{h}{25}[/tex]
Therefore:
[tex]\displaystyle h=25\tan(20)[/tex]
Use a calculator. Ensure your calculator is in the correct mode (degrees mode):
[tex]h\approx 9.1\text{ yards}[/tex]
The goal post is around 9.1 yards tall.
