Chapter 13.1, Problem 7CYU

To determine

Calculate the value of x .

Answer to Problem 7CYU

The value of x is $8.3$ .

Explanation of Solution

Given:

It is given in the question that the figure is given below in which b 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,

  $\begin{array}{l}\sec \theta =\frac{h}{b}\\ \sec {33}^{\circ }=\frac{x}{7}\\ 1.19=\frac{x}{7}\\ x=1.19\cdot 7\\ x=8.3\end{array}$

Conclusion:

The value of x is $8.3$ .