Find Angle B in the diagram

Question

asked Jul 1, 2024 143k views

1 Answer

Paul R Rogers · Answer 1 · 2024-07-07T08:29:23+0000

Answer:

∠ B ≈ 24°

Explanation:

using the Sine rule in Δ ABC

(a)/(sinA) =
(b)/(sinB)

where a is the side opposite ∠ A and b the side opposite ∠ B

here a = 22 and b = 9 , then

(22)/(sin97) =
(9)/(sinB) ( cross- multiply )

22 × sin B = 9 × sin97° ( divide both sides by 22 )

sin B =
(9sin97)/(22) , then

∠ B =
sin^(-1) (
(9sin97)/(22) ) ≈ 24° ( to the nearest degree )