In triangle ABC, angle C is 90 BC = 12√6 AB = 30 Find sinB.
| September 17, 2021 | education
To find the sine of angle B, we need a leg AC, opposite to angle B. We find it by the Pythagorean theorem:
AC = √ (AB² – CB²) = √ (900 – 864) = √36 = 6 (cm).
Let’s use the definition of sine and find the sine of angle B:
Sin B = AC / AB = 6/30 = 1/5 = 0.2.
Answer: The sine of angle B is 0.2.
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