Question

Please help i am super confused on what to do :)

Answer 1

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:

$\displaystyle \tan(x^\circ)=\frac{\text{Opposite}}{\text{Adjacent}}$

So:

$\displaystyle \tan(20)=\frac{h}{25}$

Therefore:

$\displaystyle h=25\tan(20)$

Use a calculator. Ensure your calculator is in the correct mode (degrees mode):

$h\approx 9.1\text{ yards}$

The goal post is around 9.1 yards tall.