Supply the missing information for each of the right triangles described below. In each example, θ = angle, O = opposite side, A = adjacent side, and H = hypotenuse.sin θ = ? O = 8 H = 16

Supply the missing information for each of the right triangles described below In each example θ angle O opposite side A adjacent side and H hypotenusesin θ O 8 class=


Answer :

Given a Right Triangle, you need to remember the following Trigonometric Function:

[tex]\sin \theta=\frac{opposite}{hypotenuse}[/tex]

In this case, you know that:

[tex]\begin{gathered} O=8 \\ H=16 \end{gathered}[/tex]

Where "O" is the opposite side and "H" is the hypotenuse of the Right Triangle.

Then, substituting values and simplifying the fraction, you get:

[tex]\begin{gathered} \sin \theta=\frac{8}{16} \\ \\ \sin \theta=\frac{1}{2} \end{gathered}[/tex]

In order to get the value in decimal form, you need to divide the numerator by the denominator:

[tex]\sin \theta=0.500[/tex]

Hence, the answer is: Choice 'D'.