Question
Find the leg $ a $ of a right triangle if hypotenuse $c = 40\, \text{cm}$ and angle $\alpha = 58^o$.
Answer
$33.9219\, \text{cm}$
Explanation
To find leg $ a $ use formula:
$$ \sin \left( \alpha \right) = \dfrac{ a }{ c } $$After substituting $\alpha = 58^o$ and $c = 40\, \text{cm}$ we have:
$$ \sin( 58^o ) = \dfrac{ a }{ 40 } $$ $$ 0.848 = \dfrac{ a }{ 40 } $$$$ a = 0.848 \cdot 40 $$$$ a = 33.9219 $$This page was created using
Right Triangle Calculator