Triangle ABC, sinB = 5/6, a = 18, b = 30. Find the angle a.

univerkov | December 7, 2020 | education

Let’s use the sine theorem:
a / sinA = b / sinB (follows) (a = x (unknown))
18 / x = 30 / (5/6) – we substitute the values into our formula and we can find x.
x = (18 * (5/6)) / 30 = 1/2
sin (1/2) = 30 (degrees)
a = 30 (degrees).
Answer: angle “a” is 30 (degrees)

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