In triangle ABC, tan A is found by taking the ratio of the perpendicular side (BC) to the base side (AB), yielding tan A = 2.4.
In the given triangle ABC, where AB is the base, AC is the hypotenuse, and BC is the perpendicular, we can use the tangent function to find the tangent of angle A. The tangent of an angle in a right-angled triangle is defined as the ratio of the length of the side opposite the angle (perpendicular) to the length of the side adjacent to the angle (base).
Using the formula for tangent (tan A = opposite/adjacent), in this case, tan A = BC/AB. Substituting the given values, tan A = 24/10 = 2.4.
Therefore, the tangent of angle A in triangle ABC is 2.4.
In summary, the calculation of tan A involves taking the ratio of the length of the side opposite angle A (BC) to the length of the side adjacent to angle A (AB), resulting in tan A = 2.4.