Answer:
j = 24
Step-by-step explanation:
You can solve this using geometry and Pythagorean theorem.
If you make another mirror triangle on the other side of j, you would notice that all angels are 60 degrees, so the side that we don't know is half of [tex]16\sqrt{3}[/tex], which is [tex]8\sqrt{3}[/tex].
Now use Pythagorean theorem:
[tex]j^{2} + (8\sqrt{3}) ^{2} = (16\sqrt{3})^{2}[/tex]
Therefore [tex]j^{2} = 768-192 = 576\\j=24[/tex]
