Question

Find the indicated side of theright triangle.60330X == [?].Enter

Answer 1

Step 1

State a trigonometric identity that can be used to find the value of x

`\begin{gathered} \text{Toa} \\ \text{where} \\ T\text{ = tan} \\ o=\text{ opposite}=3 \\ a\text{ = adjacent}=x \\ \text{and written as} \\ \text{Tan 30 =}\frac{opposite}{\text{adjacent}} \end{gathered}`

Step 2

Substitute and find the value of x

`\begin{gathered} \text{Tan}30\text{ =}(3)/(x) \\ Tan\text{ 30 = }\frac{1}{\sqrt[]{3}} \end{gathered}`

Hence,

`\begin{gathered} \frac{1}{\sqrt[]{3}}=(3)/(x) \\ x\text{ = 3}\sqrt[]{3} \end{gathered}`

Therefore x = 3√3