Question
Find the leg $ a $ of a right triangle if hypotenuse $c = 10\, \text{cm}$ and angle $\alpha = 35^o$.
Answer
$5.7358\, \text{cm}$
Explanation
To find leg $ a $ use formula:
$$ \sin \left( \alpha \right) = \dfrac{ a }{ c } $$After substituting $\alpha = 35^o$ and $c = 10\, \text{cm}$ we have:
$$ \sin( 35^o ) = \dfrac{ a }{ 10 } $$ $$ 0.5736 = \dfrac{ a }{ 10 } $$$$ a = 0.5736 \cdot 10 $$$$ a = 5.7358 $$This page was created using
Right Triangle Calculator