Hey I am also really stuck on this one, worth a lot. Use exact values. NO DECIMALS they say. Thanks!

Answer:
[tex] \cos(30) = \frac{z}{24} \\ = > z = 24 \times \cos(30) = 12 \sqrt{3} \\ \\ 24 \times \sin(30) = x \times \cos(45) \\ = > 24 \times \frac{1}{2} = x \times \frac{1}{ \sqrt{2} } \\ < = > x = 12 \sqrt{2} \\ \\ 24 \times \sin(30) = y \div \tan(45) \\ < = > 12 = y[/tex]