Question

Find Angle B in the diagram

Answer 1

∠ 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 )