to solve the leg of an isosceles triangle given the length of the base and its angle, we can use the cosine identity.
where cos A = a / h
where a is the adjacent side of the angle ( but for this case it is half of the base)
h is the hypotenuse or the leg of the triangle
A is the base angle
h = a / cos A
h = ( 12 / 2) / cos 50
h = 9.33 in