In an isosceles triangle ABC (ab = sun), the angle at the base is 75 degrees. CM is the bisector of the triangle

In an isosceles triangle ABC (ab = sun), the angle at the base is 75 degrees. CM is the bisector of the triangle, BM = 12. Find the distance from point M to the base of the speaker

1) the distance from point M to the segment AC is perpendicular
2) Since the triangle is isosceles, then 180- (75 + 75) = 30 degrees angle B
3) The sides of a triangle are proportional to the sines of the opposite angles according to the sine theorem: AM / sinB = BM / sinA: 2 = AB / sinM MN = BM * sinB * sinA: 2 / sinA: 2 => BM * sin30 = 12 * 0.5 = 6