Cuboid

Cuboid ABCDEFGH with 10 cm height has a base edge length 6 cm and 8 cm. Determine angle between body diagonal and the base plane (round to degrees).

Correct result:

α =  45 °

Solution:

$$\begin{gathered} u_1=\sqrt{6^2+8^2}=10cm \\ \tan \alpha ={\displaystyle \frac{10}{u_1}}={\displaystyle \frac{10}{10}} \\ \alpha ={\displaystyle \frac{180}{\pi }}\arctan {\displaystyle \frac{10}{10}}=45^{\circ } \end{gathered}$$

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