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

asked Mar 23, 2023 184k views

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3 votes

Using tangent identity:

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

Elye answered Mar 27, 2023

by Elye

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