# 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.

December 30, 2020 | education

| 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

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