STEP 1: find height $ h $

To find height $ h $ use formula:

$$ A = a \cdot h $$

After substituting $A = 9\, \text{cm}$ and $a = 3\, \text{cm}$ we have:

$$ 9\, \text{cm} = 3\, \text{cm} \cdot h $$$$ h = \dfrac{ 9\, \text{cm} }{ 3\, \text{cm} } $$$$ h = 3 $$

STEP 2: find angle $ \alpha $

To find angle $ \alpha $ use formula:

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

After substituting $h = 3\, \text{cm}^0$ and $a = 3\, \text{cm}$ we have:

$$ \sin \left( \alpha \right) = \dfrac{ 3 }{ 3\, \text{cm} } $$ $$ \sin \left( \alpha \right) = 1\, \text{cm}^-1 $$ $$ \alpha = \arcsin\left( 1\, \text{cm}^-1 \right) $$ $$ \alpha = 90^o $$

Angle $ $ \alpha $ $ has to be lesser than 90 degrees $ \Longrightarrow $ The problem has no solution.

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