Find the angle $ \alpha $ of a rhombus if side $a = \frac{ 181 }{ 100 }$ and height $h = \frac{ 179 }{ 100 }$.
Answer
$\alpha = 81.4746^o$
Explanation
To find angle $ \alpha $ use formula:
$$ \sin \left( \alpha \right) = \dfrac{ h }{ a } $$After substituting $ h = \frac{ 179 }{ 100 } $ and $ a = \frac{ 181 }{ 100 } $ we have:
$$ \sin \left( \alpha \right) = \dfrac{ \frac{ 179 }{ 100 } }{ \frac{ 181 }{ 100 } } $$ $$ \sin \left( \alpha \right) = \frac{ 179 }{ 181 } $$ $$ \alpha = \arcsin\left( \frac{ 179 }{ 181 } \right) $$ $$ \alpha = 81.4746^o $$This page was created using
Rhombus Calculator