Question

Please answer this correct answer now fast

Answer 1

WX = 8 mm

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:

`(sin(z))/(11) =(sin(133))/(20) \\sin(z)=(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)=(opposite)/(hypotenuse) \\sin(z)=(WX)/(20)\\0.4022=(WX)/(20)\\WX=20\,(0.4022)\\WX=8.044\,\,mm`

which rounded to the nearest integer gives

WX = 8 mm