Answer:
[tex] x = \frac{\sqrt{6}}{2} [/tex]
Step-by-step explanation:
Reference angle = 45°
Opposite side = x
Hypotenuse = √3
Use the following trigonometric ratios formula to find x:
[tex] sin(\theta) = \frac{opp}{hyp} [/tex]
Plug in the values
[tex] sin(45) = \frac{x}{\sqrt{3}} [/tex]
Multiply both sides by √3
[tex] \sqrt{3}*sin(45) = x [/tex]
[tex] \sqrt{3}*\frac{\sqrt{2}}{2} = x [/tex]
[tex] \frac{\sqrt{3*2}}{2} = x [/tex]
[tex] \frac{\sqrt{6}}{2} = x [/tex]
