Question

What is the exact height of a right triangle with an angle that measures 30 degrees and a base of 8.

Answer 1

Given:

`\begin{gathered} \tan 30=(AB)/(BC) \\ \frac{1}{\sqrt[]{3}}=(AB)/(8) \\ AB=\frac{8}{\sqrt[]{3}} \\ AB=(8)/(3)\sqrt[]{3} \end{gathered}`

Height of the right triangle is

`\begin{gathered} AB=(8)/(3)\sqrt[]{3}\text{ units} \\ AB=4.6189\text{ units} \end{gathered}`