In a triangle ABC, the angle C is 90 degrees AC is equal to 8 tg A is equal to 0.75. Find BC.

Given: ABC – right-angled triangle;

C = 90 °; AC = 8;

tg A = 0.75;

Sun -?

Because triangle ABC is rectangular, then relations and dependencies between angles and sides apply to it.

The tangent of an acute angle in a right-angled triangle is the ratio of the leg opposite to this angle to the adjacent one, i.e.:

tg A = BC / AC = 0.75.

Therefore, BC = tg A * AC = 0.75 * 8 = 6.

Answer: BC = 6.