Question
Find the angle $ \alpha $ of a right triangle if leg $a = 3\, \text{cm}$ and leg $b = 4\, \text{cm}$.
Answer
$36.8699^o$
Explanation
To find angle $ \alpha $ use formula:
$$ \tan \left( \alpha \right) = \dfrac{ a }{ b } $$After substituting $a = 3\, \text{cm}$ and $b = 4\, \text{cm}$ we have:
$$ \tan \left( \alpha \right) = \dfrac{ 3\, \text{cm} }{ 4\, \text{cm} } $$ $$ \tan \left( \alpha \right) = \frac{ 3 }{ 4 } $$ $$ \alpha = \arctan\left( \frac{ 3 }{ 4 } \right) $$ $$ \alpha = 36.8699^o $$This page was created using
Right Triangle Calculator