In a right-angled triangle ABC, angle C = 90, find the length of the leg AC if angle B = 30 and hypotenuse AB = 34.
| March 20, 2021 | education
Since the angle C = 90 °, the triangle ABC is right-angled, then, by the definition of the sine of the angle, the equality is true:
sin (B) = AC / AB.
Let us express AC from it:
AC = AB * sin (B) = 34 * sin (30 °) = 34 * 1/2 = 17.
Answer: the desired size of the AC leg is 17.
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