A right rectangular prism has length 40cm, width 30cm, and height 30cm. Angles L FBC and L EAD are 45 degrees. Find the angle between line AF and the base.

Here's how to solve the problem:

The figure represents a right rectangular prism (a cuboid) with the following dimensions:

• Length, $AB = 40$ cm
• Width, $BC = AD = 30$ cm
• Height, $CF = DE = 30$ cm

The given angles $\angle FBC = 45^\circ$ and $\angle EAD = 45^\circ$ are consistent with these dimensions, as $\tan(\angle FBC) = \frac{CF}{BC} = \frac{30}{30} = 1$, so $\angle FBC = 45^\circ$. Similarly for $\angle EAD$.

*a) Find the angle between line AF and the