Given a right-angled triangle ABC, angle C = 90 It is known that to find the tangent of angle A

Given a right-angled triangle ABC, angle C = 90 It is known that to find the tangent of angle A it is necessary to find the ratio of the opposite leg to the adjacent leg. Find tg A if AB = 10, BC = 6, AC = 8.

There is a right-angled triangle ABC.
In it, the angle C is straight, which means:
AB is the hypotenuse, which is 10.
CB is the leg opposite to angle A, which is 6.
AC is the leg adjacent to angle A, which is 8.
Because tangent is the ratio of the opposite leg to the adjacent one, then
tg A = CB / AC = 6/8 = 3/4.



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