In a triangle ABC, the angle is C = 90, tg a = 0.8, BC = 16. Find AC.

In order to solve this problem, you need to know the definition of the tangent. The tangent of a right-angled triangle is the ratio of the opposite leg to the adjacent one.

tgA = BC / AC.

Therefore, to find AC, you need to divide the opposite leg BC by tgA:

AC = BC / tgA = 16 / 0.8 = 20.

Answer: AC = 20.



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