Find the angle A of a right-angled triangle ABC if the side CA = 7, BC = 7√3.
September 27, 2021 | education
| By definition, the tangent in a right-angled triangle is the ratio of the opposite leg to the adjacent leg, we get that:
tg A = BC / CA.
We know from the condition that:
BC = 7√3;
CA = 7.
Thus, we get that:
tg A = BC / CA = 7√3: 7 = (7√3) / 7 = √3.
Thus, we get that the angle A = 60 °.
Answer: A = 60 °.
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