5 For safety, the recommended height of a horse fence is 5 feet. Because of uneven ground surfaces, the actual height of the fence can vary from this recommendation by up to 3 inches.
1) What is the midpoint of height the fence can be? feet.
2) Write an absolute value equation to find the maximum and minimum height of the fence.
3) Solve the absolute value equation to find the maximum and minimum height of the fence.
Maximum height $=$ feet
Minimum height = feet

Step 1 ：The recommended height of a horse fence is 5 feet. However, due to uneven ground surfaces, the actual height of the fence can vary by up to 3 inches. This means the fence can be 3 inches taller or 3 inches shorter than 5 feet.

Step 2 ：The maximum height of the fence is 5 feet 3 inches and the minimum height is 4 feet 9 inches. To find the midpoint, we need to find the average of the maximum and minimum heights.

Step 3 ：We need to convert these heights to the same units before we can find the average. Let's convert everything to inches. 5 feet is 60 inches, so the maximum height is 63 inches and the minimum height is 57 inches.

Step 4 ：The midpoint is the average of these two heights, which is \(\frac{63 + 57}{2} = 60\) inches.

Step 5 ：Converting 60 inches back to feet, we get \(\frac{60}{12} = 5\) feet.

Step 6 ：Final Answer: The midpoint of the height the fence can be is \(\boxed{5}\) feet.