According to the condition of the problem, it is known that AC = BC = 48 cm, and also that AH is the height and is equal to 24 cm.Therefore, the triangle ANS is rectangular, in which: leg AH = 24 cm and hypotenuse AC = 48 cm (by condition), that is, we get that the leg AH = 1/2 * AC.
And by the property of a right-angled triangle: a leg, lying opposite an angle of 30 °, is equal to half the hypotenuse.
This means, since the leg AH = 1/2 * AC, hence the angle ACB = 30 °.
Answer: angle C = 30 °.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.