In the ABC triangle, the angle C is 90, CH is the height, AB = 15, cos A = 0.6. Find AH.
| June 12, 2021 | education
In a right-angled triangle ABC CosA = AC / AB.
AC = AB * CosA = 15 * 0.6 = 9 cm.
Let’s define SinA. Sin2A = 1 – Cos2A = 1 – 0.36 = 0.64.
SinA = 0.8 then SinA = CH / AC.
CH = AC * SinA = 9 * 0.8 = 7.2.
In a right-angled triangle ACN, according to the Pythagorean theorem, AH ^ 2 = AC ^ 2 – CH ^ 2 = 81 – 51.84 = 29.16.
AH = 5.4 cm.
Answer: The length of the segment AH is 5.4 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.
