Question

If the Longer leg of a 30 60 90 degree triangle has a length of 51. what is the length of the shorter leg?

Answer 1

Using tangent identity:

`\begin{gathered} \tan (\theta)=(opposite)/(adjacent) \\ \tan (30)=(x)/(51) \\ x=\tan (30)\cdot51 \\ x=17\sqrt[]{3}\approx29.44 \end{gathered}`