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

In the triangle below, what is the length of the side opposite the 30° angle?A. √3B-example-1
User KarlR
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1 Answer

18 votes
18 votes

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.

User Ashik
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