Final answer:
The distance between the bottom of the ladder and the wall is 1.08 meters.
Step-by-step explanation:
To find the distance between the bottom of the ladder and the wall, we can use the Pythagorean theorem. The ladder, the ground, and the wall form a right triangle. We know that the ladder is 3m long and reaches 2.8m up the wall. Let's call the distance between the bottom of the ladder and the wall x.
According to the Pythagorean theorem, x^2 + 2.8^2 = 3^2. We can simplify this equation to x^2 + 7.84 = 9. Solving for x, we find x^2 = 1.16. Taking the square root of both sides, we get x = ±1.08.
Since distance cannot be negative, we take the positive value, x = 1.08. Therefore, the distance between the bottom of the ladder and the wall is 1.08 meters.