Question

Please answer this correct answer now fast

Answer 1

Answer:

WX = 8 mm

Step-by-step explanation:

To be able to solve for WX, we need to first find the size of angle $\angle z$.

We use the law of sines in the blue triangle to do such:

$\frac{sin(z)}{11} =\frac{sin(133)}{20} \\sin(z)=\frac{11\,sin(133)}{20} \\sin(z)=0.4022$

Now we can use this value in the larger right angle triangle where WX is the opposite side to angle  $\angle z$, and the 20 mm side is the hypotenuse:

$sin(z)=\frac{opposite}{hypotenuse} \\sin(z)=\frac{WX}{20}\\0.4022=\frac{WX}{20}\\WX=20\,(0.4022)\\WX=8.044\,\,mm$

which rounded to the nearest integer gives

WX = 8 mm