Answer:
The answer to your question is 3 units
Step-by-step explanation:
Data
Right triangle
Hypotenuse = 2[tex]\sqrt{3}[/tex]
angle = 30°
Process
1.- To solve this problem use trigonometric functions
sin Ф = Opposite side / hypotenuse
cos Ф = Adjacent side / hypotenuse
2.- Solve for the Opposite and adjacent sides
Opposite side = Hypotenuse x sin Ф
Adjacent side = Hypotenuse x cos Ф
3.- Substitution
Opposite side = 2√3 x sin 30
= 2√3 x 0.5
= √3
Adjacent side = 2√3 x cos 30
= 2√3 x √3 / 2
= 3
4.- Conclusion
The longer leg is Adjacent side (3 units)
