Answer:
[tex]x=4, y=8[/tex]
Step-by-step explanation:
step 1
Find the value of y
we know that
In the right triangle of the figure
[tex]cos(30\°)=\frac{4\sqrt{3}}{y}[/tex]
Remember that
[tex]cos(30\°)=\frac{\sqrt{3}}{2}[/tex]
so
[tex]\frac{\sqrt{3}}{2}=\frac{4\sqrt{3}}{y}[/tex]
Simplify
[tex]y=8\ units[/tex]
step 2
Find the value of x
In the right triangle of the figure
[tex]sin(30\°)=\frac{x}{8}[/tex]
Remember that
[tex]sin(30\°)=\frac{1}{2}[/tex]
so
[tex]\frac{1}{2}=\frac{x}{8}[/tex]
[tex]x=4\ units[/tex]
