Final answer:
The measure of the angle formed by the ladder and the ground, to the nearest tenth of a degree, is approximately 38.5°.
Step-by-step explanation:
The measure of the angle formed by the ladder and the ground can be found using trigonometry. In this case, we can use the tangent function since we know the opposite and adjacent sides of the triangle formed by the ladder, the building, and the ground.
The opposite side is the height of the building, which is 22.8 feet, and the adjacent side is the distance from the base of the ladder to the building, which is 28 feet. We can use the formula tan(theta) = opposite/adjacent to find the angle:
tan(theta) = 22.8/28
theta ≈ 38.5°
Therefore, the measure of the angle formed by the ladder and the ground, to the nearest tenth of a degree, is approximately 38.5°.