Question

Find the missing side. Round to thenearest tenth.A) 7.1B) 24.7D) 4.9C) 3.6

Answer 1

From the provided image, we are provided with the opposite side, which is 11, and the adjacent side which is x.

The suitable trigonometry ratio for this is the Tangent.

`\begin{gathered} \text{Tan 66}^0=\text{ }\frac{opposite}{\text{adjacent}} \\ \text{Tan 66}^0=(11)/(x) \\ 2.246=(11)/(x) \\ x=(11)/(2.246) \\ x=4.89 \\ To\text{ the nearest tenth, x = 4.9} \end{gathered}`

Hence, the missing side is 4.9