Question

Hurry help DUE TONIGHT Based on the figure, which equation is true? Show your work.

Answer 1

Okay, here we have this:

Considering the provided figure, that we know an angle, the leg opposite a is an angle and we want to know the hypotenuse, we can use the trigonometric ratios since it is a right triangle, so we obtain the following:

The trigonometric ratio that relates an angle, its opposite leg and the hypotenuse is the sine, therefore that is the one we will use, so we have:

`\begin{gathered} \sin (\vartheta)=(Opp)/(Hyp) \\ \sin (32)=(8.5)/(x) \end{gathered}`

Finally we obtain that the correct answer is the first option (A).