Question

ZB
Round your answer to the nearest hundredth.
B
?
9
A
4

Answer 1

∠ B ≈ 26.39°

Explanation:

Using the sine ratio in the right triangle

sinB =
`(opposite)/(hypotenuse)` =
`(AC)/(AB)` =
`(4)/(9)` , then

∠ B =
`sin^(-1)` (
`(4)/(9)` ) ≈ 26.39° ( to the nearest hundredth )