Answer:
54 in.
Explanation:
The broken post forms a right triangle. We know the length of one part of it, but not the other. The missing part is the hypotenuse of the right triangle. Because the legs are in different units (inches and feet), we'll convert them to 18 inches and 24 inches. Now, using the Pythagorean Theorem, the hypotenuse (missing part) is 30 inches long. Now, we know that the original height of the post was 24 + 30 = 54 inches long. Hope this helps!