Question

17.Find the missing side length to the near tenth.56°9XA. 11.3B10.6c. 6.1D. 13.3

Answer 1

13.3 (option D)

Step-by-step explanation:

angle = 56°

opposite = side opposite the angle = x

adjacent = base = 9

We would apply the trigonomretry ratio SOHCAHTOA

Since we know adjacent and we are looking for the opposite, we would use tan ratio (TOA)

tan 56° = opposite/adjacent

`\begin{gathered} \tan 56\degree=(x)/(9) \\ x\text{ = 9(tan 56}\degree) \end{gathered}`
`\begin{gathered} x\text{ = 9(}1.4826) \\ x\text{ = 13.3434} \end{gathered}`

To the nearest tenth, the missing side length x is 13.3 (option D)