# In triangle ABC, angle C is 90 degrees, BC = 8, cosA = 0.5. Find the height CH.

September 15, 2021 | education

| Let the angle A = X0, then the angle HCA = (90 – X) 0, and the angle BCH = (90 – (90 – X)) = X0.

Then the angle BAC = BCH, which means CosBCH = 0.5.

In a right-angled triangle BCH Cosvsn = ВН / ВС.

ВН = ВС * Сosвсн = 8 * 0.5 = 4 cm.

Answer: The length of the CH height is 4 cm.

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.