MAJOR HELP!
Imagine you are at home watching television. You are sitting 6 feet away from your TV which is hung on the wall and the top of it is 8 feet off the ground. Which of the following functions correctly represents the angle θ that you make with the top of your television?

MAJOR HELP Imagine you are at home watching television You are sitting 6 feet away from your TV which is hung on the wall and the top of it is 8 feet off the gr class=

Respuesta :

Answer: Option A

[tex]\theta=tan^{-1}(\frac{8}{6})[/tex]

Step-by-step explanation:

We can model the situation by means of a right triangle.

Where the  angle [tex]\theta[/tex] is the angle that you make with the top of the TV.

Then the horizontal distance of 6 feet is the adjacent side and the vertical distance of 8 feet is the opposite side to the angle the.

By definition of the [tex]tan(\theta)[/tex] function we know that:

[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]

Therefore:

[tex]tan^{-1}(\frac{8}{6})=\theta[/tex]

[tex]\theta=tan^{-1}(\frac{8}{6})[/tex]

Answer:

CORRECT

Step-by-step explanation: