Determine the length of AY if ARAY is a 30°-60°-90° triangle and AR has a length of 24 centimeters.

The length of AY is:
[tex]24\sqrt[]{3}cm[/tex]Explanation:Given that AR is 24 centimeters, to find the length of AY, we use:
[tex]\begin{gathered} \tan 30=\frac{24}{AY} \\ \\ AY=\frac{24}{\tan30} \\ \\ =\frac{24}{(\frac{1}{\sqrt[]{3}})}=24\sqrt[]{3}cm \end{gathered}[/tex]