Triangle ABC is a right triangle. The legs of the triangle are AB = 6 cm and BC = 12 cm. Find the measure of angle A.

63.4°

Step-by-step explanation:

Given that AB and BC are the legs of the right triangle, then opposite to angle A is side BC and adjacent to angle A is side AB.

By definition, the tangent of angle A is:

tan (∠A) = opposite leg / adjacent leg

tan (∠A) = BC/AB

tan (∠A) = 12/6

∠A = arctan (2)

∠A = 63.4°