Question

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?

Answer 1

CORRECT

Explanation:

Answer 2

Answer: Option A

`\theta=tan^(-1)((8)/(6))`

Explanation:

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

Where the angle
`\theta` 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
`tan(\theta)` function we know that:

`tan(\theta)=(opposite)/(adjacent)`

Therefore:

`tan^(-1)((8)/(6))=\theta`

`\theta=tan^(-1)((8)/(6))`