In the triangle ABC, the angle C is 90ᵒ, AB = 30, AC = 24. Find tg A
| February 6, 2021 | education
1. We calculate the length of the BC leg, using the formula of the Pythagorean theorem:
BC ^ 2 = AB ^ 2 – AC ^ 2.
ВС = √АВ ^ 2 – АС ^ 2 = √900 – 576 = √324 = 18 units.
2. The leg AC is a side of angle A, that is, adjacent to it. The leg BC is opposite corner A.
The tangent of the angle A = BC / AC = 18: 24 = 0.75.
Answer: the tangent of angle A is 0.75.
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