Name:
ID: A
40. Thomas used a 2.6-m-long ramp to move furniture into a moving van. If the bottom of the ramp is $2.0 \mathrm{~m}$ from the back of the moving van, what is the angle between the ramp and the ground, to the nearest degree?
41. Explain the difference between an angle of elevation and an angle of depression. Include a diagram with your explanation.

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.