In triangle ABC, angle C is 90, BC = 10, AB = 2√29 find the tangent B.
| June 16, 2021 | education
To find the tangent of an angle, we need both legs in a right triangle. By condition, one aircraft is given. By the Pythagorean theorem, we find the second leg AC.
AC = √ (AB² – BC²) = √ (116 – 100) = √16 = 4.
Let’s use the definition of the tangent of an angle in a right-angled triangle and find the tangent of angle B:
Tg B = AC / BC = 4/10 = 0.4.
Answer: the tangent of angle B is 0.4.
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