Step 1 :Given the length of the ramp (hypotenuse) as \(2.6\mathrm{~m}\) and the distance from the bottom of the ramp to the moving van (adjacent side) as \(2.0\mathrm{~m}\), we can use the cosine function to find the angle.
Step 2 :Using the formula \(\cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}\), we have \(\cos(\theta) = \frac{2.0}{2.6} = 0.7692307692307692\).
Step 3 :Taking the inverse cosine of the value, we get the angle \(\theta = \arccos(0.7692307692307692) = 39.71513723182621\).
Step 4 :Rounding the angle to the nearest degree, we have \(\boxed{40}\) degrees as the angle between the ramp and the ground.