Question
Find the angle $ \alpha $ of a rhombus if side $a = 1.81\, \text{cm}$ and height $h = 1.79\, \text{cm}$.
Answer
$81.4746^o$
Explanation
To find angle $ \alpha $ use formula:
$$ \sin \left( \alpha \right) = \dfrac{ h }{ a } $$After substituting $h = 1.79\, \text{cm}$ and $a = 1.81\, \text{cm}$ we have:
$$ \sin \left( \alpha \right) = \dfrac{ 1.79\, \text{cm} }{ 1.81\, \text{cm} } $$ $$ \sin \left( \alpha \right) = 0.989 $$ $$ \alpha = \arcsin\left( 0.989 \right) $$ $$ \alpha = 81.4746^o $$This page was created using
Rhombus Calculator