In triangles ABC, angle C is 90, AC = 27, sinA = 0.6 Find BC.
| September 28, 2021 | education
Determine the cosine of the angle BAC.
Cos2BAC = 1 – Sin2BAC = 1 – 0.36 = 0.64.
CosBAC = 0.8.
Then CosBAC = AC / AB.
AB = AC / CosBAC = 27 / 0.8 = 33.75 cm.
SinBAC = BC / AB.
BC = AB * SinBAC = 33.75 * 0.6 = 20.25 cm.
Answer: The length of the BC leg is 20.25 cm.
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