Algebra-2

In the provided diagram, we have a right triangle with the right angle at point B. The lengths of the sides are as follows: the hypotenuse AC has a length of 50, the side AB adjacent to angle A has a length of 40, and the side CB opposite angle A has a length of 30. Our objective is to find the tangent value of angle A.

In a right triangle, the tangent (tan) of an angle is defined as the ratio of the side opposite to the angle to the side adjacent to the angle. In this case, for angle A, the side opposite the angle is CB with a length of 30, and the side adjacent to the angle is AB with a length of 40.

Therefore, the tangent of angle A can be calculated as follows:

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