Answer:
x = 3 will be the answer.
Step-by-step explanation:
From right triangle ABC,
By applying Sine rule,
Sin45° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex] = [tex]\frac{BC}{AC}[/tex]
[tex]\frac{1}{\sqrt{2}}[/tex] = [tex]\frac{BC}{6\sqrt{2}}[/tex]
BC = 6 units
Now from right triangle BCD,
By applying Cosine rule,
Cos60° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex] = [tex]\frac{BD}{BC}[/tex]
[tex]\frac{1}{2}=\frac{x}{6}[/tex]
x = [tex]\frac{6}{2}[/tex]
x = 3
