Answer:
x=2√2 units
Explanation:
In the right triangle:
• The side length ,opposite, 45° = x
,
• The length of the ,hypotenuse, = 4
From trigonometric ratios:
[tex]\begin{gathered} \sin\theta=\frac{Opposite}{Hypotenuse} \\ \implies\sin45\degree=\frac{x}{4} \end{gathered}[/tex]
Cross multiply:
[tex]\begin{gathered} x=4\times\sin45\degree \\ x=4\times\frac{\sqrt{2}}{2} \\ x=2\sqrt{2} \end{gathered}[/tex]
The value of x is 2√2 units.
