Final answer:
The change in height of the block sliding down a 45° slope for a total of 2.8 meters is about 2.0 meters.
Step-by-step explanation:
To find the change in height of the block, we can use trigonometry. The 45° slope forms a right triangle, with the height as one of its legs. We can use the formula sin(angle) = opposite/hypotenuse to find the height. In this case, the hypotenuse is the distance the block slides down (2.8 meters). So, the change in height is given by sin(45°) = height/2.8. Solving for height, we get height = 2.8 * sin(45°) ≈ 2.0 meters. Therefore, the change in height of the block is approximately 2.0 meters.
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