Question

In the triangle below, what is the length of the side opposite the 30° angle?A. √3B. 3√3C.3/2D. 2√3

Answer 1

We use the trigonometric tangent identity:

`\tan30=(opposite)/(adjacent)`

Where:

adjacent = 3

Substitute the values, we have:

`\begin{gathered} \tan30=(opposite)/(3) \\ opposite=3\cdot\tan30=3\cdot(√(3))/(3)=√(3) \end{gathered}`

Answer: A.