Q:

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?

Accepted Solution

A:
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]