Let us name the diagram.
From this right triangle,
The opposite side is 18 inches.
The adjacent side is 2 feet
That is,
[tex]2\times12=24\text{ inches}[/tex]
To find the hypotenuse side(x):
Using the pythagoras theorem,
[tex]\begin{gathered} (\text{hyp)}^2=(\text{opp)}^2+(\text{adj)}^2 \\ x^2=18^2+24^2 \\ x^2=324+576 \\ x^2=900 \\ x=30 \end{gathered}[/tex]
Hence, the total height of the post is, x+24 inches
That is,
30+24=54 inches.
Therefore, the answer is 54 inches (or) 4.5 feet.
