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 ! :)

Question

asked Oct 1, 2023 77.2k views

1 Answer

Anton Antonov · Answer 1 · 2023-10-05T14:26:21+0000

Using the trigonometry ratio

$\begin{gathered} sin45=(opp)/(hyp) \\ 0.7071=(9)/(x) \\ x=(9)/(0.7071) \\ x=12.7 \end{gathered}$

To obtain y

$\begin{gathered} tan45=(opp)/(adj) \\ 1=(9)/(y) \\ y*1=9 \\ y=9 \end{gathered}$

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

The correct answer is option C ( the third choice )