Question
Find the angle $ \alpha $ of a right triangle if leg $b = 40\, \text{cm}$ and hypotenuse $c = 76\, \text{cm}$.
Answer
$58.2431^o$
Explanation
To find angle $ \alpha $ use formula:
$$ \cos \left( \alpha \right) = \dfrac{ b }{ c } $$After substituting $b = 40\, \text{cm}$ and $c = 76\, \text{cm}$ we have:
$$ \cos \left( \alpha \right) = \dfrac{ 40\, \text{cm} }{ 76\, \text{cm} } $$ $$ \cos \left( \alpha \right) = \frac{ 10 }{ 19 } $$ $$ \alpha = \arccos\left( \frac{ 10 }{ 19 } \right) $$ $$ \alpha = 58.2431^o $$This page was created using
Right Triangle Calculator