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.

May 11, 2026Mathematics

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May 11, 2026

Answer

40$ cm

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

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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 FBC = 45^ and EAD = 45^ are consistent with t…

Asked on May 11, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on May 11, 2026

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 FBC = 45^ and EAD = 45^ are consistent with these dimensions, as ( FBC) = (CF)/(BC) = (30)/(30) = 1, so FBC = 45^. Similarly for EAD. *a) Find the angle between line AF and the