Let a , b and c be the lengths of the sides of a triangle with its opposite angles A , B and C respectively. If a = 3 , b = 4 and A = sin - 1 3 4 , then the angle B is

Question

Let a , b and c be the lengths of the sides of a triangle with its opposite angles A , B and C respectively. If a = 3 , b = 4 and A = sin - 1 3 4 , then the angle B is, 30 °, 45 °, 90 °, 60 °

MARKS App · Accepted Answer

Given, a = 3 b = 4 and A = sin - 1 ( 3 4 ) ⇒ sin A = 3 4 Using sine rule, we get a S i n A = b sin B ⇒ sin B = b sin A a ⇒ sin B = 4 × 3 4 3 ⇒ sin B = 1 ⇒ B = sin - 1 ( 1 ) ⇒ B = 90 ° .

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