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.
1 answer:
Answer:
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°
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