In a right-angled triangle ABC, the leg AC = 20 and the CH height lowered to the hypotenuse is 3. Find the cos of the angle CAB.

In the right-angled triangle ABC, a CH height is drawn equal to 3 cm.
The cos of the CAB angle can be found from two trigolniks: ABC and ASN
Consider the triangle ASN
Cosine is the ratio of the adjacent leg to the hypotenuse.
By the Pythagorean theorem, we find AN = root of 391
SAN angle cos = root of 391/20

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.