In triangle ABC, angle C is 90 degrees, angle A is 60 degrees, AB = 8. find the speaker.

1. We calculate the value of the angle A:

The sum of the angles of the triangle is 180 degrees, the angle A = 180 – 90 – 60 = 30 degrees.

2. Side AB of a right-angled triangle is the hypotenuse. The AC leg lies against an angle of 30 degrees.

We apply the theorem that a leg lying opposite an angle of 30 degrees is equal to half the hypotenuse:

AC = 8: 2 = 4.

Answer: AC is 4.