STEP 1: find angle $ \alpha $

To find angle $ \alpha $ use formula:

$$ \sin \left( \alpha \right) = \dfrac{ h }{ a } $$

After substituting $h = 1.79\, \text{cm}$ and $a = 1.81\, \text{cm}$ we have:

$$ \sin \left( \alpha \right) = \dfrac{ 1.79\, \text{cm} }{ 1.81\, \text{cm} } $$ $$ \sin \left( \alpha \right) = 0.989 $$ $$ \alpha = \arcsin\left( 0.989 \right) $$ $$ \alpha = 81.4746^o $$

STEP 2: find angle $ \beta $

To find angle $ \beta $ use formula:

$$ \alpha + \beta = 90^o $$

After substituting $ \alpha = 81.4746^o $ we have:

$$ 81.4746^o + \beta = 90^o $$ $$ \beta = 90^o - 81.4746^o $$ $$ \beta = 8.5254^o $$

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