Question

<B
Round your answer to the nearest hundredth.
2
А
3
?
B​

Answer 1

∠ B ≈ 41.81°

Explanation:

Using the sine ratio in the right triangle

sin B =
`(opposite)/(hypotenuse)` =
`(AC)/(AB)` =
`(2)/(3)` , thus

B =
`sin^(-1)`(
`(2)/(3)` ) ≈ 41.81° ( to the nearest hundredth )