Triangles ABC, angle C = 90 degrees, BC = 20, tg А = 0.5 Find AC

Because angle C is 90 degrees, then the sides AC and BC are legs, and BC is a leg that lies opposite angle A.

The ratio of the opposite leg of a right-angled triangle to the adjacent leg is equal to the tangent of the angle, so tg A = BC / AC.

Hence AC = BC / tg A = 20 / 0.5 = 40.



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