Answer:
[tex]\large\boxed{z=\dfrac{15\sqrt3}{2}}[/tex]
Step-by-step explanation:
We have the right triangle 30° - 60° - 90°. The sides are in ratio
1 : √3 : 2. Look at the picture.
[tex]15=2x\to2x=15[/tex] divide both sides by 2
[tex]\dfrac{2x}{2}=\dfrac{15}{2}\\\\x=\dfrac{15}{2}[/tex]
[tex]z=x\sqrt3\to z=\dfrac{15}{2}\sqrt3=\dfrac{15\sqrt3}{2}[/tex]
