Respuesta :

[tex]tgB= \frac{3}{4} \\ \\ \\ = tg^{-1}(0,75)= B \\ \\ \\ GoodLuck:) [/tex]

Answer:

The answer is option:C([tex]B=arctan(0.75)[/tex])

Step-by-step explanation:hdQSD

Since we have to find the measure of angle B so for defining the trignometric function corresponding to B we need to take side AC  as pependicular(p)=12, AB as base(b)=16 and BC as hypotenuse(h)=20.

now when we define the tangent function corresponding to angle B than [tex]\tan B=\frac{p}{b}[/tex]

[tex]\tan B=\frac{12}{16}=0.75[/tex]

[tex]B=arctan(0.75)[/tex] is the required measure of angle B.