In the ABC triangle, the angle c is 90 BC = 16 tgA = 0.4. find the speaker.

Given:

ABC – right triangle;

Angle C = 90 °;

BC = 16;

tg A = 0.4;

Find AC.

Decision:

In order to find the leg AC of the triangle ABC, you need the formula for the tangent of the angle, since the tangent of the angle A is already known.

The tangent of angle A is equal to the ratio of the opposite leg BC to the ratio of the adjacent leg AC.

Means:

tg A = BC / AC.

Hence, AC = BC / tg a;

Substitute the known values into the formula and find AC.

AC = 16 / 0.4 = 16 / (4/16) = 16 / (1/4) = 16/1 * 4/1 = 16 * 4 = 10 * 4 + 6 * 4 = 40 + 24 = 64;

Answer: AC = 64.