"For the triangle ABC you are given angle = 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.

for b to become the altitude it will have to perpendicular to the base BC

so

recall that is so multiply it by 3 and you have

ambiguous triangles ussually use the law of sines to determine the possiblities.