Rectangle

Calculate the length of the side GN and diagonal QN of rectangle QGNH when given: |HN| = 25 cm and angle ∠ QGH = 28 degrees.

Result

|GN| =  13.29 cm
|QN| =  28.31 cm

Solution:

α=28∘ a=∣HN∣=25 cm tan⁡α=ba  b=∣GN∣=atan⁡α=13.29  cm \alpha = 28 ^\circ \ \\ a = |HN| = 25 \ cm \ \\ \tan \alpha = \dfrac{ b }{ a } \ \\ \ \\ b = |GN| = a \tan \alpha = 13.29 \ \text{ cm }
cos⁡α=au u=∣QN∣=acos⁡α=28.31  cm \cos \alpha = \dfrac{ a }{ u } \ \\ u= |QN| = \dfrac{ a }{ \cos \alpha } = 28.31 \ \text{ cm }

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Pythagorean theorem is the base for the right triangle calculator.
See also our trigonometric triangle calculator.

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