Chapter 8.4, Problem 8CE

To determine

The value of x.

Answer to Problem 8CE

The value of x is $10\sqrt{3}$ .

Explanation of Solution

Given information:

The given figure is,

  

Here, in the figure all sides are equal so this is equilateral triangle and all angles is $60°$

  $\begin{array}{c}\sin \theta =\frac{perpendicular}{hypotenuse}\\ \sin 60°=\frac{x}{8}\\ \frac{\sqrt{3}}{2}=\frac{x}{20}\\ x=10\sqrt{3}\\ x=10\sqrt{3}\end{array}$

Therefore, the value of x is $10\sqrt{3}$