Given:
Consider the below figure attached with this equation.
To find:
Length of side ZX.
Solution:
From the figure it is clear that, WXY is a right angled triangle.
According the 30°-60°-90° theorem, the longer leg (opposite to 60° angle) of the right-angled triangle is [tex]\sqrt{3}[/tex] times of shorter leg (opposite to 30° angle).
In the below figure, WY is longer leg and XY is shorter leg.
[tex]WY=\sqrt{3}XY[/tex]
[tex]8\sqrt{3}=\sqrt{3}XY[/tex]
[tex]8=XY[/tex]
So, the length of XY is 8 units.
VWYZ is a rectangle, so
[tex]ZY=VW=10[/tex]
Now,
[tex]ZX=ZY+YX[/tex]
[tex]ZX=10+8[/tex]
[tex]ZX=18[/tex]
So, the length of ZX is 18 units.
Therefore, the correct option is C.
