In the triangle ABC, the angle is C 90, BC = 4 tg A = 0.25. Find AC.

From the school curriculum in geometry, we well know that the tangent of an angle can be calculated through the ratio of the leg, which is opposite a given angle, to the leg, which will be adjacent.

Let us determine through what number of arbitrary units the length of the AC side will be expressed, when from the setting condition we know that with the tangent of angle A equal to 0.25, the BC side length is 4 conventional units:

BC / AC = tg A;

4 / AC = 0.25;

AC = 16.

Answer: Under such initial conditions, the AU will be equal to 16 conventional units.