Question

What is the length of AC if ∅=29° and BC=5? round to the nearest hundredth

Answer 1

To obtain AC

`\begin{gathered} \tan \text{ }\emptyset\text{ =}\frac{\text{opposite}}{\text{adjacent}} \\ \emptyset=29^0 \\ \text{opposite =5} \\ \text{adjacent = AC} \end{gathered}`

`\begin{gathered} \tan 29^0=(5)/(AC)\text{ } \\ AC\text{ = }\frac{5}{\tan \text{ 29}} \\ \\ AC\text{ = }(5)/(0.5543) \\ \\ AC\text{ = 9.02} \end{gathered}`