To find angle $ \beta $ use formula:
$$ \cos \left( \beta \right) = \dfrac{ a }{ c } $$After substituting $ a = \frac{ 37 }{ 2 } $ and $ c = \frac{ 229 }{ 10 } $ we have:
$$ \cos \left( \beta \right) = \dfrac{ \frac{ 37 }{ 2 } }{ \frac{ 229 }{ 10 } } $$ $$ \cos \left( \beta \right) = \frac{ 185 }{ 229 } $$ $$ \beta = \arccos\left( \frac{ 185 }{ 229 } \right) $$ $$ \beta = 36.1126^o $$