Hey guys, I need help with another problem,

I have posted a picture of the triangle

"For the triangle ABC you are given angle $\displaystyle \beta $ = 30 degrees, and side c = 3."

a. Find side b so that one triangle is formed with side b being the altitude of the triangle.

b. Find side b so that no triangles are formed.

c. Find side b so that two distinct triangles are formed.

d. Find side b so that one triangle is formed but side b is not the altitude of the triangle.

I really need help with these 4 questions so if possible could you guys include work with the answer? Thanks