Question

Hello I really need help with this questionA 32" flat screen television measures 32 inches across its diagonal. The diagonal makes a 35°angle with the bottom of the television.Select all equations that can be used to solve for the height, h, of the television screen.

Answer 1

Trigonometric ratios for an angle in a right triangle:

$\begin{gathered} sin\theta=\frac{opposite}{hypotenuse} \\ \\ cos\theta=\frac{adjacent}{hypotenuse} \\ \\ tan\theta=\frac{opposite\text{ }}{adjacent} \end{gathered}$

The angle formed by the diagonal and the lateral of the tv is x, to find x use the next:

The sum of the interior angles of a triangle is alwaays 180º:

$\begin{gathered} 90º+35º+x=180 \\ x=180º-90º-35º \\ x=55º \end{gathered}$

Then, the trigonometric ratios that can be used to find h are:

$\begin{gathered} sin35=\frac{h}{32} \\ \\ cos55=\frac{h}{32} \end{gathered}$

Answers: B and D