Chapter 13.1, Problem 5CYU

To determine

Calculate the value of x .

Answer to Problem 5CYU

The value of x is $25.4$ .

Explanation of Solution

Given:

It is given in the question that the figure is given below in which p is given:

  

Concept Used:

In this, use the concept of pythgoras theorem and trigonometric ratios and the formula will be $h^2=p^2+b^2$ , $\sin \theta =\frac{p}{h},\cos \theta =\frac{b}{h},\tan \theta =\frac{p}{b},\csc \theta =\frac{h}{p},\sec \theta =\frac{h}{b},\cot \theta =\frac{b}{p}$ .

Calculation: Here, use the trigonometric ratios,

  $\begin{array}{l}\sin \theta =\frac{p}{h}\\ sin{60}^{\circ }=\frac{22}{x}\\ \frac{\sqrt{3}}{2}=\frac{22}{x}\\ \sqrt{3}x=44\\ x=\frac{44}{\sqrt{3}}\\ x=\frac{44}{1.73}=25.4\end{array}$

Conclusion:

The value of x is $25.4$ .