Question

What is the value of x to the nearest tenth?A.4.8B.7.7C.8.8D.14.1

Answer 1

`\begin{gathered} \text{Let the third angle be }\theta. \\ \text{Therefore} \\ \theta+126+28=180\text{ (Sum of angles in a triangle)} \\ \Rightarrow\theta=26\text{degrees} \end{gathered}`

Using sine rule, we have:

`\begin{gathered} (x)/(\sin(28deg))=(8.2)/(\sin (26deg)) \\ \Rightarrow\text{ x=}\frac{8.2\sin (28\text{deg)}}{\sin (26\text{deg)}} \\ \Rightarrow\text{ x=8.8} \end{gathered}`