Question

What are the missing sides in the triangle written as integers or as decimals rounded to the nearest tenth? The figure is not drawn to scale. (image attached)thank you ! :)

Answer 1

Using the trigonometry ratio

$\begin{gathered} sin45=\frac{opp}{hyp} \\ 0.7071=\frac{9}{x} \\ x=\frac{9}{0.7071} \\ x=12.7 \end{gathered}$

To obtain y

$\begin{gathered} tan45=\frac{opp}{adj} \\ 1=\frac{9}{y} \\ y\times1=9 \\ y=9 \end{gathered}$

Observe the use of SOH/CAH/TOA to remember the trigonometric ratio formula

The correct answer is option C ( the third choice )