Answer:
Measure of ∠B is 30°
Step-by-step explanation:
Given the figure, we have to find the measure of angle B.
By trigonometric ratios formula,
[tex]sin\theta=\frac{Perpendicular}{Hypotenuse}[/tex]
⇒ [tex]sin\angle B=\frac{AC}{AB}=\frac{8}{16}[/tex]
⇒ [tex]sin\angle B=\frac{1}{2}[/tex]
⇒ [tex]\angle B=sin^{-1}(\frac{1}{2})[/tex]
⇒ [tex]\angle B=30^{\circ}[/tex]
Hence, measure of ∠B is 30°
