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).

Result

α =  45 °

Solution:

u1=62+82=10 cm tan⁡α=10u1=1010 α=180πarctan⁡1010=45∘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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Most natural application of trigonometry and trigonometric functions is a calculation of the triangles. Common and less common calculations of different types of triangles offers our triangle calculator. Word trigonometry comes from Greek and literally means triangle calculation.
Pythagorean theorem is the base for the right triangle calculator.

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