Ответ:

8

Объяснение:

За теоремою сiнусiв - [tex]\frac{x}{sin(45)} = \frac{4\sqrt{2}}{sin(30)}[/tex]

[tex]sin(45) = \frac{\sqrt{2}}{2} \\sin(30) = \frac{1}{2}[/tex]

Вирiшуємо пропорцiю

[tex]x = \frac{4\sqrt{2} * \frac{\sqrt{2}}{2}}{\frac{1}{2}} \\x = 4\sqrt{2} * \frac{\sqrt{2}}{2} * 2\\x = 4\sqrt{2} * \sqrt{2}\\x = 4 * 2\\x = 8[/tex]