Question
Find the angle $ \alpha $ of a rhombus if side $a = 72\, \text{cm}$ and height $h = 42\, \text{cm}$.
Answer
$35.6853^o$
Explanation
To find angle $ \alpha $ use formula:
$$ \sin \left( \alpha \right) = \dfrac{ h }{ a } $$After substituting $h = 42\, \text{cm}$ and $a = 72\, \text{cm}$ we have:
$$ \sin \left( \alpha \right) = \dfrac{ 42\, \text{cm} }{ 72\, \text{cm} } $$ $$ \sin \left( \alpha \right) = \frac{ 7 }{ 12 } $$ $$ \alpha = \arcsin\left( \frac{ 7 }{ 12 } \right) $$ $$ \alpha = 35.6853^o $$This page was created using
Rhombus Calculator