Question

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

Answer 1

`tgB= (3)/(4) \\ \\ \\ = tg^(-1)(0,75)= B \\ \\ \\ GoodLuck:)`

Answer 2

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=(p)/(b)`

`\tan B=(12)/(16)=0.75`

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