In a right-angled triangle ABC, where the angle B-straight leg AB is 4 cm and the tangent angle C is 0.8, find another leg.

Let us express the number of centimeters, which is equal to the length of the other leg of the designated right triangle, for which we will use the variable d.

Therefore, in accordance with the existing definition of the tangent of an angle, we can express its value of the angle C in the form of 4 / d.

Once it is known, based on the data available in the conditions of the problem, that the tangent of this angle is 0.8, then it is possible to write down the equation and calculate the length of the leg:

4 / d = 0.8;

d = 5.

Answer: Its length is 5 centimeters.

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