The right angled triangle shows the reference angle as 60 and that means the opposite side is y, the adjacent side is 3 (between the reference angle and the right angle) and the hypotenuse is x (facing the right angle).
Therefore, the trigonometric ratios to be used are as follows;
[tex]\begin{gathered} \cos 60=\frac{adj}{hyp} \\ \cos 60=\frac{3}{x} \\ \text{Cross multiply and you have;} \\ x=\frac{3}{\cos 60} \\ x=\frac{3}{0.5} \\ x=6 \\ \text{Also,} \\ \tan 60=\frac{\text{opp}}{\text{adj}} \\ \tan 60=\frac{y}{3} \\ \text{Cross multiply and you have} \\ 3\tan 60=y \\ 3\times1.73205080\ldots=y \\ y=5.1961524\ldots \\ To\text{ the nearest tenth} \\ y=5.2 \end{gathered}[/tex]
The answers are therefore;
x = 6
y = 5.2
