Answer:
The sides are as follows: [tex]x=18,\,\,\,y=9\sqrt{3}[/tex]
Step-by-step explanation:
Starting with the side y, we can use the tan to solve for y:
[tex]\tan 30^\circ = \frac{9}{y}\implies y = \frac{9}{\tan 30^\circ}={9}\sqrt{3}[/tex]
The side x can be determined using sin:
[tex]\sin 30^\circ = \frac{9}{x}\implies x = \frac{9}{\sin 30^\circ}= 18[/tex]
So, the sides as as follows: [tex]x=18,\,\,\,y=9\sqrt{3}[/tex]
(you can also verify this result is correct using the Pythagorean theorem)
