Use Special Right Triangles to solve for the value of y. Leave your answer in SIMPLIFIED radical form.

We can use the sine function and tangent function in order to solve for x and y:
[tex]\begin{gathered} sin(\theta)=\frac{opposite}{hypotenuse} \\ sin(60)=\frac{15}{x} \\ x=\frac{15}{sin(60)} \\ x=10\sqrt{3} \end{gathered}[/tex][tex]\begin{gathered} tan(\theta)=\frac{opposite}{adjacent} \\ tan(60)=\frac{15}{y} \\ y=\frac{15}{tan(60)} \\ y=5\sqrt{3} \end{gathered}[/tex]