In triangle ABC, angle C is 90 degrees. BC = 3√3, AB = 6. Find sinB.

We find AC by the Pythagorean theorem.

AC ^ 2 = 6 ^ 2 – (3√3) ^ 2 = 36 – 9 * 3 = 36 – 27 = 9,

AC = √9 = 3,

sinB = 3: 6 = 0.5.



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