# 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:

$u_1 = \sqrt{ 6^2 + 8^2 } = 10 \ cm \ \\ \tan \alpha = \dfrac{ 10 }{ u_1 } = \dfrac{ 10 }{ 10 } \ \\ \alpha = \dfrac{ 180 }{ \pi } \arctan \dfrac{ 10 }{ 10 } = 45 ^\circ$

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