STEP 1: find height $ h $

To find height $ h $ use formula:

$$ \sin \left( \frac{ \alpha }{ 2 } \right) = \dfrac{ h }{ d_1 } $$

After substituting $\alpha = 49.017^o$ and $d_1 = 35\, \text{cm}$ we have:

$$ \sin \left( \frac{ 49.017^o }{ 2 } \right) = \dfrac{ h }{ d_1 } $$ $$ \sin( 24.5085 ) = \dfrac{ h }{ 35 } $$ $$ 0.4148 = \dfrac{ h }{ 35 } $$$$ h = 0.4148 \cdot 35 $$$$ h = 14.519 $$

STEP 2: find side $ a $

To find side $ a $ use formula:

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

After substituting $\alpha = 49.017^o$ and $h = 14.519\, \text{cm}$ we have:

$$ \sin( 49.017^o ) = \dfrac{ 14.519\, \text{cm} }{ a } $$ $$ 0.7549 = \dfrac{ 14.519\, \text{cm} }{ a } $$ $$ a = \dfrac{ 14.519\, \text{cm} }{ 0.7549 } $$ $$ a = 19.2329\, \text{cm} $$

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