Question

Which inverse trigonometric function will determine the measurement of angle B?

Answer 1

Answer:

The answer is option:C($B=arctan(0.75)$)

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 $\tan B=\frac{p}{b}$

$\tan B=\frac{12}{16}=0.75$

$B=arctan(0.75)$ is the required measure of angle B.

Answer 2

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