Chapter 8.4, Problem 6CE

To determine

The value of x in the figure

Answer to Problem 6CE

The value of x is 6

Explanation of Solution

Given information:

The given figure of triangle is,

  

Here, in the figure one angle is $30°$ and second is $60°$

So third angle will be $90°$

  $\begin{array}{c}\sin \theta =\frac{perpendicular}{hypotenuse}\\ \sin 30°=\frac{3}{x}\\ \frac{1}{2}=\frac{3}{x}\\ x=6\end{array}$

Therefore, the value of x is 6