Chapter 13.1, Problem 26PPS

To determine

Calculate the value of x .

Answer to Problem 26PPS

The value of x is $5.1$ .

Explanation of Solution

Given:

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

  

Concept Used:

In this, use the concept of pythagoras 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,

  $\begin{array}{l}\cos \theta =\frac{b}{h}\\ \cos {70}^{\circ }=\frac{x}{15}\\ 0.34=\frac{x}{15}\\ x=15\cdot 0.34\\ x\approx 5.1\end{array}$

Conclusion:

The value of x is $5.1$ .