To be able to determine the length of the TV, let's focus only on one of the triangles that is formed.
Where,
x = the length of the TV.
To find x, we will be applying the Cosine Function:
[tex]\text{ Cosine }\theta\text{ = }\frac{Adjacent\text{ Side}}{\text{Hypotenuse}}[/tex][tex]Cosine(30^{\circ})\text{ = }\frac{x}{\text{2}4\sqrt[]{3}}[/tex][tex]\text{ 24}\sqrt[]{3}xCosine(30^{\circ})\text{ = x}[/tex][tex](24\sqrt[]{3})(\frac{\sqrt[]{3}}{2})\text{ = x}[/tex][tex]\text{ }\frac{24\text{ x 3}}{2}\text{ = x}[/tex][tex]\text{ }\frac{72}{2}\text{ = x}[/tex][tex]\text{ 36 inches = x}[/tex]
Therefore, the length of the TV is 36 inches.
