In triangle ABC, angle C = 90 degrees, angle A = 41 degrees, BC = 5cm. Find the length AC.

The ABC triangle is rectangular, since the angle is C = 90.
In a right-angled triangle, the tangent of an acute angle is equal to the ratio of the opposite leg to the adjacent one.
Tg41 = BC / AC.
AC = BC / tg41 = 5 / 0.87 = 5.75 cm.
Answer: The length of the AC leg is 5.75 cm.



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