In triangle ABC, angle C = 90 degrees tangent B = 5 \ 4. find the tangent A.

Tangent is the ratio of the opposite leg to the adjacent leg.

Tangent B = 5/4, therefore the opposite leg is 5x, the adjacent one is 4x.

For angle A, the opposite leg will be the one that is equal to 4x; and the adjacent leg will be 5x.

Then, tangent A = 4x / 5x = 4/5.

Answer: tangent A = 4/5.



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