Find the longer leg of the triangle.

>3
>√3
>9
>√6

The answer to your question is 3 units

Step-by-step explanation:

Data

Right triangle

Hypotenuse = 2

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)

answer: can and shows the work

step-by-step explanation: