Question

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

Answer 1

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

`\sin \theta=(opposite)/(hypotenuse)`

In this case, you know that:

`\begin{gathered} O=8 \\ H=16 \end{gathered}`

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

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

`\begin{gathered} \sin \theta=(8)/(16) \\ \\ \sin \theta=(1)/(2) \end{gathered}`

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

`\sin \theta=0.500`

Hence, the answer is: Choice 'D'.