Question

Find missing piece the triangle, Round to the nearest tenth (one decimal place)Your AnswerCorrect?39

Answer 1

`\begin{gathered} AB=17.48 \\ CB=19.064 \end{gathered}`

Step-by-step explanation: We are provided one known side and angle and two unknown sides that we need to find. It can be done by using trignomatric ratios as follows:

`\begin{gathered} AB=\text{?} \\ CB=\text{?} \\ AC=11 \\ \theta=39^(\circ) \\ \therefore\rightarrow \\ \sin (\theta)=\frac{Opposite\text{ }}{\text{Hypotenuse}}=\rightarrow\sin (39)=0.629=(11)/(AB) \\ \therefore\rightarrow \\ AB=(11)/(0.629)=17.48 \end{gathered}`

Similarly, CB side can be found as follows:

`\begin{gathered} \tan (\theta)=\frac{Opposite}{\text{Adjacent}}\rightarrow\tan (39)=0.577=(11)/(CB) \\ \therefore\rightarrow \\ CB=(11)/(0.577)=19.064 \\ CB=19.064 \end{gathered}`

We have found missing sides which are AB and CB