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Prove It If you look from the $\displaystyle \displaystyle \begin{align*} 27^{\circ} \end{align*}$ angle, then you set up your ratio as $\displaystyle \displaystyle \begin{align*} \sin{\left( 27^{\circ} \right)} = \frac{y}{6.2} \end{align*}$ and solve for y.
If you look from the $\displaystyle \displaystyle \begin{align*} 63^{\circ} \end{align*}$ angle, then you set up your ratio as $\displaystyle \displaystyle \begin{align*} \cos{ \left( 63^{\circ} \right)} = \frac{y}{6.2} \end{align*}$ and solve for y.