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 …

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asked Nov 4, 2020 26.5k views

2 Answers

Martin Fehrs · Answer 1 · 2020-11-10T06:59:39+0000

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:

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

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